Question
The circumference of a circle is equal to the perimeter
of a rectangle whose length and breadth are in ratio 11:10, respectively. If the area of the rectangle is 24750 cm 2 , 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, 11x × 10x = 24750 => x2 = 24750/110 = 225 => x = 15 Therefore, perimeter of the rectangle = 2 × (11x + 10x) = 630cm Let the radius of the circle be ‘r’ cm. According to the question, 2πr = 630 Or r = 630× (7/44) = 100.22cm
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