Question
The circumference of a circle is 55 cm and the length of
the rectangle is 8 times the radius of the circle. Find the area (in cm2) of the rectangle, if the ratio of length and the breadth of the rectangle is 7:8, respectively.Solution
Let the radius of the circle = ‘r’ cm Circumference of the circle = 2πr 55 = 2 × (22/7) × r r = 8.75 Radius of the circle = 8.75 cm Length of the rectangle = 8.75 × 8 = 70 cm Breadth of the rectangle = (70/7) × 8 = 80 cm Area of the rectangle = 70 × 80 = 5600 cm2
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