Question
The ratio of the length of a rectangle, breadth of the
rectangle and the diameter of a circle is 13:11:8. If the area of the circle is 154 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?Solution
Area of the circle = πr2 154 = 22/7 × r2 r2 = 49 r = 7 cm (Since, radius cannot be negative) Radius of the circle = 7 cm Diameter of the circle = 2r = 14 cm Length of the rectangle = (14/8) × 13 = 22.75 cm Breadth of the rectangle = (14/8) × 11 = 19.25 cm Perimeter of the rectangle = 2 × (22.75 + 19.25) = 84 cm Circumference of the circle = 2 × (22/7) × 7 = 44 cm Required difference = 84 – 44 = 40 cm
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