Question

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 cm2 , then find the radius of the circle.

A 73.5 cm Correct Answer Incorrect Answer
B 52.5 cm Correct Answer Incorrect Answer
C 59.5 cm Correct Answer Incorrect Answer
D 38.5 cm Correct Answer Incorrect Answer

Solution

Let the length and breadth of the rectangle be 10x cm and 11x cm, respectively
According to the question,
10x × 11x = 13310
=> x2 = 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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