the circumference of two circles are in the ratio 3 ratio 4 find the ratio of their areas
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Let the radius of circle1=r
and the radius of circle2=R
According to the question c1/c2=3/4 (where c is the circumference of the circle)
c1=2πr
c2=2πR
c1/c2=3/4 ----> r/R=3/4
Now,area of circle = π(radius of circle)^2
Ratio of area = πr^2/πR^2 = r^2/R^2
Hence ,ratio of the areas of Circle 1 to Circle 2 is 9/16
and the radius of circle2=R
According to the question c1/c2=3/4 (where c is the circumference of the circle)
c1=2πr
c2=2πR
c1/c2=3/4 ----> r/R=3/4
Now,area of circle = π(radius of circle)^2
Ratio of area = πr^2/πR^2 = r^2/R^2
Hence ,ratio of the areas of Circle 1 to Circle 2 is 9/16
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