Question
The circumference of a circle is equal to the perimeter
of a rectangle whose length and breadth are in ratio 13:10, respectively. If the area of the rectangle is 25480 cm2, then find the radius of the circle.Solution
Let the length and breadth of the rectangle be 10x cm and 10x cm, respectively According to the question, 13x × 10x = 25480  x2 = 25480/130 = 196  x = 14 Therefore, perimeter of the rectangle = 2 × (13x + 10x) = 644cm Let the radius of the circle be ‘r’ cm. According to the question, 2πr = 644 Or r = 644× (7/44) = 102.45cm
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