Question
The circumference of a circle is equal to the perimeter
of a rectangle whose length and breadth are in ratio 7:6, respectively. If the area of the rectangle is 5082 cm2 , then find the radius of the circle.Solution
Let the length and breadth of the rectangle be 7x cm and 6x cm, respectively According to the question, 7x × 6x = 5082 => x2 = 5082/42 = 121 => x = 11 Therefore, perimeter of the rectangle = 2 × (7x + 6x) = 286 cm Let the radius of the circle be ‘r’ cm According to the question, 2πr = 286 Or, r = 286 × (7/44) = 45.5 cm
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