If the perimeter of a circle is equal to that of a square, find the ratio of their areas. (Use π=22/7)
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Step-by-step explanation:
perimeter of square is equal to perimeter of circle
it means,
4a= 2πr
4a= 2×22/7×r
a= 11r/7
a/r= 11/7
hence side of sq. is 11x and radii of circle is 7x
ratio of their area = πr²/a²
= {22/7×(7x)²}/(11x)²
=(22/7×49x²)/121x²
= 22×49x²/121x²×7
= 2×49/11×7
= 2×7/11
= 14/11
hence the ratio is 14:11
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