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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# Chapter 7: Computation of Area"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### ch-7 page 207 pb-1"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "chainage 0 and 20\n",
- "('area=', 420.0)\n",
- "chainage 20 and 65\n",
- "('area=', 2250.0)\n",
- "chainage 65 and 110\n",
- "('area=', 1305.0)\n",
- "chainage 90 and 110\n",
- "('area=', 600.0)\n",
- "chainage 40 and 90\n",
- "('area=', 2000.0)\n",
- "chainage 0 and 40\n",
- "('area=', 400.0)\n",
- "('area of field =', 6975.0)\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "print('chainage 0 and 20')\n",
- "a1=0;b1=20;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=0;o2=42;\n",
- "mo1=(o2+o1)/2;\n",
- "\n",
- "ae1=base*mo1;\n",
- "print('area=',ae1);\n",
- "\n",
- "print('chainage 20 and 65')\n",
- "a1=20;b1=65;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=58;o2=42;\n",
- "mo2=(o2+o1)/2;\n",
- "\n",
- "ae2=base*mo2;\n",
- "print('area=',ae2);\n",
- "\n",
- "\n",
- "print('chainage 65 and 110')\n",
- "a1=65;b1=110;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=0;o2=58;\n",
- "mo3=(o2+o1)/2;\n",
- "\n",
- "ae3=base*mo3;\n",
- "print('area=',ae3);\n",
- "\n",
- "\n",
- "print('chainage 90 and 110')\n",
- "a1=90;b1=110;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=0;o2=60;\n",
- "mo4=(o2+o1)/2;\n",
- "\n",
- "ae4=base*mo4;\n",
- "print('area=',ae4);\n",
- "\n",
- "print('chainage 40 and 90')\n",
- "\n",
- "a1=40;b1=90;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=60;o2=20;\n",
- "mo5=(o2+o1)/2;\n",
- "\n",
- "ae5=base*mo5;\n",
- "print('area=',ae5);\n",
- "\n",
- "print('chainage 0 and 40')\n",
- "a1=0;b1=40;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=20;o2=0;\n",
- "mo6=(o2+o1)/2;\n",
- "\n",
- "ae6=base*mo6\n",
- "print('area=',ae6);\n",
- "\n",
- "\n",
- "area=ae1+ae2+ae3+ae4+ae5+ae6;\n",
- "\n",
- "print('area of field =',area);\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### ch-7 page 209,210 pb-2"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "chainage 15.5 and 27.5\n",
- "('area=', 135.0)\n",
- "chainage 15.5 and 50\n",
- "('area=', 905.625)\n",
- "chainage 50 and 75.5\n",
- "('area=', 835.125)\n",
- "chainage 75.5 and 86.7\n",
- "('area=', 198.80000000000004)\n",
- "chainage 86.7 and 90\n",
- "('area=', 17.324999999999985)\n",
- "chainage 60 and 90\n",
- "('area=', 532.5)\n",
- "chainage 35.5 and 60\n",
- "('area=', 490.0)\n",
- "chainage 27.5 and 35.5\n",
- "('area=', 60.0)\n",
- "('ap,ae=', 3022.05, 152.325)\n",
- "('total area of field =', 2869.7250000000004)\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "print('chainage 15.5 and 27.5')\n",
- "a1=15.5;b1=27.5;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=0;o2=22.5;\n",
- "mo1=(o2+o1)/2;\n",
- "\n",
- "ae1=base*mo1;\n",
- "ap1=0;\n",
- "an1=ae1;\n",
- "print('area=',ae1);\n",
- "\n",
- "print('chainage 15.5 and 50')\n",
- "a1=15.5;b1=50;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=22.5;o2=30;\n",
- "mo2=(o2+o1)/2;\n",
- "\n",
- "ae2=base*mo2;\n",
- "ap2=ae2;\n",
- "an2=0;\n",
- "print('area=',ae2);\n",
- "\n",
- "\n",
- "print('chainage 50 and 75.5')\n",
- "a1=50;b1=75.5;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=30;o2=35.5;\n",
- "mo3=(o2+o1)/2;\n",
- "\n",
- "ae3=base*mo3;\n",
- "ap3=ae3;\n",
- "an3=0;\n",
- "print('area=',ae3);\n",
- "\n",
- "\n",
- "print('chainage 75.5 and 86.7')\n",
- "a1=75.5;b1=86.7;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=35.5;o2=0;\n",
- "mo4=(o2+o1)/2;\n",
- "\n",
- "ae4=base*mo4;\n",
- "ap4=ae4;\n",
- "an4=0;\n",
- "print('area=',ae4);\n",
- "\n",
- "print('chainage 86.7 and 90')\n",
- "\n",
- "a1=86.7;b1=90;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=0;o2=10.5;\n",
- "mo5=(o2+o1)/2;\n",
- "\n",
- "ae5=base*mo5;\n",
- "ap5=0;\n",
- "an5=ae5;\n",
- "print('area=',ae5);\n",
- "\n",
- "print('chainage 60 and 90')\n",
- "a1=60;b1=90;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=10.5;o2=25.0;\n",
- "mo6=(o2+o1)/2;\n",
- "\n",
- "ae6=base*mo6\n",
- "ap6=ae6;\n",
- "an6=0;\n",
- "print('area=',ae6);\n",
- "\n",
- "print('chainage 35.5 and 60')\n",
- "a1=35.5;b1=60;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=25;o2=15;\n",
- "mo7=(o2+o1)/2;\n",
- "\n",
- "ae7=base*mo7\n",
- "ap7=ae7;\n",
- "an7=0;\n",
- "print('area=',ae7);\n",
- "\n",
- "print('chainage 27.5 and 35.5')\n",
- "a1=27.5;b1=35.5;\n",
- "\n",
- "base=b1-a1;\n",
- "o1=15;o2=0;\n",
- "mo8=(o2+o1)/2;\n",
- "\n",
- "ae8=base*mo8\n",
- "ap8=ae8;\n",
- "an8=0\n",
- "print('area=',ae8);\n",
- "\n",
- "an=an1+an2+an3+an4+an5+an6+an7+an8;\n",
- "ap=ap1+ap2+ap3+ap4+ap5+ap6+ap7+ap8;\n",
- "\n",
- "area=ap-an;\n",
- "print('ap,ae=',ap,an)\n",
- "print('total area of field =',area);\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### ch-7 page 214 pb-1"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Mid ordinate rule\n",
- "('required area is', 188.0, 'square meters')\n",
- "average ordinate rule\n",
- "('required area is', 161.14285714285714, 'sqare meters')\n",
- "trapezoidal rule\n",
- "('required area is ', 188.0, 'square meters')\n",
- "simpsons rule\n",
- "('required area is ', 196.66666666666669, 'square meters')\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "dis=10;\n",
- "a=0;g=0;\n",
- "b=2.5;c=3.5;d=5;e=4.6;f=3.2;\n",
- "\n",
- "print('Mid ordinate rule');\n",
- "\n",
- "h1=(a+b)/2;\n",
- "h2=(b+c)/2;\n",
- "h3=(c+d)/2;\n",
- "h4=(d+e)/2;\n",
- "h5=(e+f)/2;\n",
- "h6=(f+g)/2;\n",
- "area=dis*(h1+h2+h3+h4+h5+h6);\n",
- "\n",
- "print('required area is',area,'square meters');\n",
- "\n",
- "print('average ordinate rule');\n",
- "dis=10;\n",
- "p=6;\n",
- "bl=dis*p;\n",
- "no=7;\n",
- "\n",
- "\n",
- "area2=bl*(a+b+c+d+e+f+g)/no;\n",
- "\n",
- "print('required area is',area2,'sqare meters');\n",
- "\n",
- "print('trapezoidal rule');\n",
- "\n",
- "\n",
- "area3=(dis/2)*(2*(a+b+c+d+e+f+g));\n",
- "\n",
- "print('required area is ',area3,'square meters');\n",
- "print('simpsons rule');\n",
- "\n",
- "area4=(dis/3)*(4*(b+d+f)+2*(c+e));\n",
- "print('required area is ',area4,'square meters');\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### ch-7 page 216 pb-2"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "trapezoidal rule\n",
- "('required area is ', 820.125, 'square meters')\n",
- "simpsons rule\n",
- "(756.0, 57.375)\n",
- "('required area is ', 813.375, 'square meters')\n"
- ]
- }
- ],
- "source": [
- "#ch-7 page 216 pb-2\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "print('trapezoidal rule');\n",
- "\n",
- "o1=3.5;o2=4.3;o3=6.75;o4=5.25;o5=7.5;o6=8.8;o7=7.9;\n",
- "o8=6.4;o9=4.4;o10=3.25;\n",
- "\n",
- "dis=15;\n",
- "\n",
- "area1=(dis/2)*(o1+o10+(2*(o2+o3+o4+o5+o6+o7+o8+o9)));\n",
- "\n",
- "print('required area is ',area1,'square meters');\n",
- "\n",
- "print('simpsons rule')\n",
- "\n",
- "A1=dis/3*(o1+o9+4*(o2+o4+o6+o8)+2*(o3+o5+o7));\n",
- "\n",
- "A2=dis/2*(o10+o9);\n",
- "\n",
- "area2=A1+A2;\n",
- "print(A1,A2)\n",
- "\n",
- "print('required area is ',area2,'square meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### cha 7 page -216 pb-3"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "trapezoidal rule\n",
- "(89.5, 106.49999999999999, 158.0)\n",
- "('total area=', 354.0, 'meters')\n",
- "simpsons rule\n",
- "(89.66666666666667, 102.33333333333333, 157.33333333333334)\n",
- "('total area is ', 349.33333333333337, 'meters')\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "o1=2.5;o2=3.8;o3=4.6;o4=5.2;o5=6.1;o6=4.7;o7=5.8;o8=3.9;o9=2.20;\n",
- "\n",
- "d1=5;\n",
- "d2=10;\n",
- "d3=20;\n",
- "\n",
- "\n",
- "print('trapezoidal rule')\n",
- "\n",
- "del1=(d1/2)*(o1+o5+2*(o2+o3+o4));\n",
- "del2=(d2/2)*(o5+o7+2*(o6));\n",
- "del3=(d3/2)*(o7+o9+2*(o8));\n",
- "\n",
- "total1=del1+del2+del3;\n",
- "print(del1,del2,del3)\n",
- "\n",
- "print('total area=',total1,'meters');\n",
- "\n",
- "print('simpsons rule')\n",
- "\n",
- "de1=(d1/3)*(o1+o5+4*(o2+o4)+2*(o3));\n",
- "de2=(d2/3)*(o5+o7+4*(o6));\n",
- "de3=(d3/3)*(o7+o9+4*(o8));\n",
- "\n",
- "\n",
- "total2=de1+de2+de3;\n",
- "print(de1,de2,de3)\n",
- "\n",
- "print('total area is ',total2,'meters')\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### cha 7 page -225 pb-1"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "('A=', 748.0)\n",
- "('required area is', 748.0, 'meters')\n"
- ]
- }
- ],
- "source": [
- "#cha 7 page -225 ;pb-1\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "ir=9.377;\n",
- "fr=3.336;\n",
- "m=100;\n",
- "c=23.521;\n",
- "\n",
- "n=1;\n",
- "\n",
- "a1=m*(fr-ir+10*(n)+c);\n",
- "\n",
- "a2=m*(fr-ir-10*(n)+c);\n",
- "\n",
- "print('A=',a2);\n",
- "print('required area is',a2,'meters');\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### cha 7 page -225,226 pb-2"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "('A=', 81460.00000000001)\n",
- "('required area is', 81460.00000000001, 'meters')\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "ir=8.652;\n",
- "fr=6.798;\n",
- "c=20;\n",
- "m=100;\n",
- "n=1;\n",
- "\n",
- "sc=100;\n",
- "\n",
- "a2=m*(fr-ir-10*(n)+c);\n",
- "\n",
- "a2=a2*sc;\n",
- "\n",
- "print('A=',a2);\n",
- "print('required area is',a2,'meters');\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### cha 7 page -226 pb-3"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "('required area is', 9747.499999999998, 'meters')\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "ir=4.855;\n",
- "fr=8.754;\n",
- "m=100;\n",
- "\n",
- "n=0;\n",
- "c=0;\n",
- "sc=25\n",
- "a=m*(fr-ir)\n",
- "a=a*sc;\n",
- "print('required area is',a,'meters');\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### cha-7 page-226 pb-4"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "case 1\n",
- "('A=', 100.0)\n",
- "('M=', 100.0)\n",
- "case 2\n",
- "('required area is', 1347.0)\n",
- "('area of zero circle is', 2122.0)\n"
- ]
- }
- ],
- "source": [
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "print('case 1')\n",
- "\n",
- "ir=3.415;\n",
- "fr=4.415;\n",
- "n=0;\n",
- "c=0;\n",
- "sc=16; #1cm^2=16m^2;\n",
- "h=10000;\n",
- "ag=0.16*h;\n",
- "\n",
- "am=ag/sc;\n",
- "print('A=',am);\n",
- "\n",
- "m=am/(fr-ir);\n",
- "\n",
- "print('M=',m);\n",
- "\n",
- "print('case 2');\n",
- "\n",
- "fr_ir=2.25;\n",
- "c=21.22;\n",
- "n=1\n",
- "\n",
- "a1=m*(fr_ir-10+c);\n",
- "print('required area is',a1);\n",
- "\n",
- "area=m*c;\n",
- "\n",
- "print('area of zero circle is',area);\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### cha-7 page-227 pb-5"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "('area of zero circle is', 1221.0, 'square centimeters')\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "l=10;b=15;\n",
- "a1=l*b;\n",
- "\n",
- "ir=0.686;\n",
- "fr=9.976;\n",
- "n=2;\n",
- "m=100;\n",
- "\n",
- "marea=150;\n",
- "\n",
- "c=(marea/100)+10.710;\n",
- "\n",
- "area=m*c;\n",
- "print('area of zero circle is',area,'square centimeters');\n",
- "\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### cha-7 page-228 pb-6"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "case 1\n",
- "('area of figure is', 705.0, 'square cm')\n",
- "case 2\n",
- "('area of figure is', -1357.0, 'sq cm')\n",
- "('C=', 20.62)\n",
- "('area of zero circle is', 2062.0, 'square cm')\n"
- ]
- }
- ],
- "source": [
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "print('case 1')\n",
- "n=1;\n",
- "c=0;\n",
- "m=100;\n",
- "fr=4.825;\n",
- "ir=7.775;\n",
- "area1=m*(fr-ir+10*n)\n",
- "\n",
- "print('area of figure is',area1,'square cm');\n",
- "\n",
- "print('case 2')\n",
- "fr=8.755;\n",
- "ir=2.325;\n",
- "m=100;\n",
- "n=2;\n",
- "area2=m*(fr-ir-10*n+c)\n",
- "\n",
- "print('area of figure is',area2,'sq cm')\n",
- "c=(area1/m)+13.570;\n",
- "print('C=',c)\n",
- "\n",
- "areac=m*c;\n",
- "print('area of zero circle is',areac,'square cm');\n",
- "\n"
- ]
- }
- ],
- "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": "2.7.11"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}