diff options
| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | 47d7279a724246ef7aa0f5359cf417992ed04449 (patch) | |
| tree | c613e5e4813d846d24d67f46507a6a69d1a42d87 /Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb | |
| parent | 435840cef00c596d9e608f9eb2d96f522ea8505a (diff) | |
| download | Python-Textbook-Companions-47d7279a724246ef7aa0f5359cf417992ed04449.tar.gz Python-Textbook-Companions-47d7279a724246ef7aa0f5359cf417992ed04449.tar.bz2 Python-Textbook-Companions-47d7279a724246ef7aa0f5359cf417992ed04449.zip | |
add books
Diffstat (limited to 'Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb')
| -rwxr-xr-x | Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb | 1109 |
1 files changed, 1109 insertions, 0 deletions
diff --git a/Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb new file mode 100755 index 00000000..fae1af80 --- /dev/null +++ b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter24.ipynb @@ -0,0 +1,1109 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 24: Area of plane figures"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.1, Page number 24.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of triangle is 150.0 cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "b=15; #base(cm)\n",
+ "h=20; #altitude(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=b*h/2; #area of triangle(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of triangle is\",A,\"cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.2, Page number 24.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "perpendicular length is 10.0 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "A=205; #area of triangle(cm**2)\n",
+ "s=41; #side(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "p=2*A/s; #perpendicular length(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"perpendicular length is\",p,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.3, Page number 24.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 6 *math.sqrt(6) cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=5;\n",
+ "b=6;\n",
+ "c=7; #sides of triangle(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "s=(a+b+c)/2; #semi perimeter(cm)\n",
+ "A=math.sqrt(s*(s-a)*(s-b)*(s-c)); #base area(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",int(A/math.sqrt(6)),\"*math.sqrt(6) cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.4, Page number 24.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 6.928 cm**2\n",
+ "perimeter is 12 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=4; #side of triangle(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=math.sqrt(3)*a**2/4; #area(cm**2)\n",
+ "P=3*a; #perimeter(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",round(A,3),\"cm**2\"\n",
+ "print \"perimeter is\",P,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.5, Page number 24.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 60.0 cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "b=10; #base(cm)\n",
+ "a=13; #side(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=b*math.sqrt((4*a**2)-(b**2))/4; #area(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",A,\"cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.6, Page number 24.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "length of each side is 32.0 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=100; #perimeter(cm)\n",
+ "b=36; #base(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "a=(P-b)/2; #length of each side(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"length of each side is\",a,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.7, Page number 24.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of triangle is 200.0 cm**2\n",
+ "perimeter of triangle is 68.3 cm\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=20; #length of one leg(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=l**2/2; #area of triangle(cm**2)\n",
+ "P=l*(2+math.sqrt(2)); #perimeter of triangle(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of triangle is\",A,\"cm**2\"\n",
+ "print \"perimeter of triangle is\",round(P,1),\"cm\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.8, Page number 24.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "length of hypotenuse is 13.0 cm\n",
+ "area of triangle is 30.0 cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l1=12; #length of one leg(cm)\n",
+ "l2=5; #length of another leg(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "h=math.sqrt(l1**2+l2**2); #length of hypotenuse(cm)\n",
+ "A=l1*l2/2; #area of triangle(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"length of hypotenuse is\",h,\"cm\"\n",
+ "print \"area of triangle is\",A,\"cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.9, Page number 24.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rectangle is 720 cm**2\n",
+ "perimeter of rectangle is 112 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=36; #length(cm)\n",
+ "b=20; #breadth(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=l*b; #area of rectangle(cm**2)\n",
+ "P=2*(l+b); #perimeter of rectangle(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rectangle is\",A,\"cm**2\"\n",
+ "print \"perimeter of rectangle is\",P,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.10, Page number 24.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rectangle is 60.0 cm**2\n",
+ "perimeter of rectangle is 34.0 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=12; #length of rectangle(cm)\n",
+ "d=13; #diagonal of rectangle(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=l*math.sqrt(d**2-l**2); #area of rectangle(cm**2)\n",
+ "P=2*(l+math.sqrt(d**2-l**2)); #perimeter of rectangle(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rectangle is\",A,\"cm**2\"\n",
+ "print \"perimeter of rectangle is\",P,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.11, Page number 24.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "diagonal of rectangle is 25.0 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=20; #length(cm)\n",
+ "b=15; #breadth(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "d=math.sqrt(l**2+b**2); #diagonal of rectangle(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"diagonal of rectangle is\",d,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.12, Page number 24.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rectangle is 12.0 cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=14; #perimeter of rectangle(cm)\n",
+ "d=5; #diagonal(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=((P**2/4)-(d**2))/2; #area of rectangle(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rectangle is\",A,\"cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.13, Page number 24.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "length of rectangle is 24.0 cm\n",
+ "breadth of rectangle is 10.0 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "P=68; #perimeter of rectangle(cm)\n",
+ "A=240; #area of rectangle(cm**2)\n",
+ "\n",
+ "#Calculation\n",
+ "l=A/10; #length of rectangle(cm)\n",
+ "y=P/2;\n",
+ "b=y-l; #breadth of rectangle(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"length of rectangle is\",l,\"cm\"\n",
+ "print \"breadth of rectangle is\",b,\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.14, Page number 24.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 100 cm**2\n",
+ "perimeter is 40 cm\n",
+ "diagonal is 14.14 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=10; #side of square(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=a**2; #area(cm**2)\n",
+ "P=4*a; #perimeter(cm)\n",
+ "d=a*math.sqrt(2); #diagonal(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",A,\"cm**2\"\n",
+ "print \"perimeter is\",P,\"cm\"\n",
+ "print \"diagonal is\",round(d,2),\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.15, Page number 24.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "diagonal is 900 m\n",
+ "perimeter is 120.0 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "A=900; #area(m**2)\n",
+ "\n",
+ "#Calculation\n",
+ "d=math.sqrt(2*A); #diagonal(m)\n",
+ "P=math.sqrt(16*A); #perimeter(m) \n",
+ "\n",
+ "#Result\n",
+ "print \"diagonal is\",A,\"m\"\n",
+ "print \"perimeter is\",P,\"m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.16, Page number 24.13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 200.0 cm**2\n",
+ "perimeter is 56.569 cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=20; #diagonal(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=d**2/2; #area(cm**2)\n",
+ "P=math.sqrt(16*A); #perimeter(cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",A,\"cm**2\"\n",
+ "print \"perimeter is\",round(P,3),\"cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.17, Page number 24.13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area is 600.0 m**2\n",
+ "perimeter is 100.0 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d1=40; #first diagonal(m)\n",
+ "d2=30; #second diagonal(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=d1*d2/2; #area(m**2)\n",
+ "P2=4*(d1**2+d2**2); \n",
+ "p=math.sqrt(P2); #perimeter(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"area is\",A,\"m**2\"\n",
+ "print \"perimeter is\",p,\"m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.18, Page number 24.13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rhombus is 260 cm**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=13; #side of rhombus(cm)\n",
+ "h=20; #height of rhombus(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=a*h; #area of rhombus(cm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rhombus is\",A,\"cm**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.19, Page number 24.13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of rhombus is 300.0 m**2\n",
+ "perimeter of rhombus is 100.0 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=25; #side of rhombus(m)\n",
+ "h=40; #height of rhombus(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=d*math.sqrt((a**2)-((h/2)**2)); ##area of rhombus(m**2)\n",
+ "P=4*a; #perimeter of rhombus(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of rhombus is\",A,\"m**2\"\n",
+ "print \"perimeter of rhombus is\",p,\"m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.20, Page number 24.14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of quadrilateral is 120.0 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=12; #diagonal(cm)\n",
+ "p1=13; #length of offset 1(cm)\n",
+ "p2=7; #length of offset 2(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "A=d*(p1+p2)/2; #area of quadrilateral(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of quadrilateral is\",A,\"m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.21, Page number 24.14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of parallelogram is 600 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=30; #length of diagonal(m)\n",
+ "l=20; #length of perpendicular(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=d*l; #area of parallelogram(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of parallelogram is\",A,\"m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.22, Page number 24.14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of parallelogram is 151.789 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=12; #length of side 1(m)\n",
+ "b=14; #length of side 2(m)\n",
+ "d=22; #length of diagonal(m)\n",
+ "\n",
+ "#Calculation\n",
+ "S=(a+b+d)/2; #semi perimeter(m)\n",
+ "A=2*math.sqrt(S*(S-a)*(S-b)*(S-d)); #area of parallelogram(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of parallelogram is\",round(A,3),\"m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.23, Page number 24.14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "length of second diagonal is 18.0 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=13; #length of side 1(m)\n",
+ "b=11; #length of side 2(m)\n",
+ "d1=16; #length of diagonal 1(m)\n",
+ "\n",
+ "#Calculation\n",
+ "d22=(2*(a**2+b**2))-(d1**2); \n",
+ "d2=math.sqrt(d22); #length of second diagonal(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"length of second diagonal is\",d2,\"m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.24, Page number 24.14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of trapezium is 270.0 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=20; #length of parallel side 1(m)\n",
+ "b=25; #length of parallel side 2(m) \n",
+ "h=12; #distance(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=(a+b)*h/2; #area of trapezium(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of trapezium is\",A,\"m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.25, Page number 24.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of trapezium is 5673.66 m**2\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=120; #length of parallel side 1(m)\n",
+ "b=75; #length of parallel side 2(m) \n",
+ "c=105; #length of non parallel side 1(m)\n",
+ "d=72; #length of non parallel side 2(m) \n",
+ "\n",
+ "#Calculation\n",
+ "K=a-b; #difference of parallel sides(m)\n",
+ "S=(K+c+d)/2; #semi perimeter(m)\n",
+ "x=S*(S-K)*(S-c)*(S-d); \n",
+ "A=(a+b)*math.sqrt(x)/K; #area of trapezium(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of trapezium is\",round(A,2),\"m**2\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.26, Page number 24.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of circle is 616.0 m**2\n",
+ "circumference of circle is 88.0 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "r=14; #radius(m)\n",
+ "\n",
+ "#Calculation\n",
+ "C=2*math.pi*r; #circumference of circle(m)\n",
+ "A=math.pi*r**2; #area of circle(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of circle is\",round(A),\"m**2\"\n",
+ "print \"circumference of circle is\",round(C),\"m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 24.27, Page number 24.15"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "area of circle is 154.0 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "C=44; #circumference of circle(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=C**2/(4*math.pi); #area of circle(m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"area of circle is\",round(A),\"m**2\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
|