From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books
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2915/CH4/EX4.13/Ex4_13.sce | 24 ++++++++++++++++++++++++
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+clc,clear
+//Example 4.13
+//To determine area of intersection of 2 circles
+
+d=7 //distance between centres in cm
+r1= 5 //radius of first circle in cm
+r2= 4 //radius of second circle in cm
+
+//use law of cosines
+cos_alpha=(d^2+ r1^2 - r2^2 ) /(2*d*r1)
+cos_beeta=(d^2+ r2^2 - r1^2 ) /(2*d*r2)
+
+//from the geometry of the figure
+//all the angles below are in radians
+alpha= acos(cos_alpha)
+beeta= acos(cos_beeta)
+angle_BAC = alpha
+angle_ABC = beeta
+angle_CAD =2* angle_BAC
+angle_CBD =2* angle_ABC
+
+//required area = area at segment CD in circle at A and at B
+area_K = r1^2*(angle_CAD-sin(angle_CAD))/2 + r2^2*(angle_CBD-sin(angle_CBD))/2
+printf('Area of intersection of 2 circles = %.2f cm^2',area_K)
--
cgit