The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 10:11, respectively. If the area of the rectangle is 13310 cm^{2} , then find the radius of the circle.

Let the length and breadth of the rectangle be 10x cm and 11x cm, respectively

According to the question,

10x × 11x = 13310

=> x^{2} = 13310/110 = 121

=> x = 11

Therefore, perimeter of the rectangle = 2 × (10x + 11x) = 462 cm

Let the radius of the circle be ‘r’ cm

According to the question,

2πr = 462

Or, r = 462 × (7/44) = 73.5 cm

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