document.write( "Question 677632: Find the area contained between three circles of radius 20 centimeters, each of which is externally tangent to the other two. \n" ); document.write( "
Algebra.Com's Answer #420995 by sachi(548)![]() ![]() You can put this solution on YOUR website! the circles are externally tangent to the other two.\r \n" ); document.write( "\n" ); document.write( "the lines joining the centers of the circles forms an equilateral triangle with sides = 2* radius=40 cms & the area of the triangle= (sqrt3/4)*40^2=692.8 cm sqr\r \n" ); document.write( "\n" ); document.write( "the two radii of the circle form a sector with angl 60 degree\r \n" ); document.write( "\n" ); document.write( "the area of the 3 sectors=3*(60/360)(pi radius^2) =3/6*22/7*20^2=628.57 cm sqr\r \n" ); document.write( "\n" ); document.write( "the area contained between three circles of radius \n" ); document.write( "=the area of the triangle-the area of the 3 sectors \n" ); document.write( "=692.8-628.57=64.23cm sqr \n" ); document.write( "ans \n" ); document.write( " |