If the perimeter of a circle is equal to 'twice' that of a square, then the ratio of their areas is (a) 13: 22 (b) 56 : 11 (c) 22:13 (d) 11:56
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Given : The perimeter of a circle is equal to twice that of square,
To Find : ratio of their areas is: -
Solution:
Radius of circle = r
Side of square = a
Perimeter of circle =2πr
Perimeter of square = 4a
2πr = 2 * 4a
=> r = 4a/π
Area of circle = πr² = π(4a/π)² = 16 a²/π
Area of square = a²
Ratio = 16 /π
16/(22/7)
= 7 * 16 /22
= 56/11
ratio of their areas is: - 56 : 11
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