Question
The ratio of the length of a rectangle, breadth of the
rectangle and the diameter of a circle is 11:10:7. If the area of the circle is 616 cm2 , then what is the difference between the circumference of the circle and the perimeter of the rectangle?Solution
Area of the circle = πr2 616 = 22/7 × r2 r2 = 196 r = 14 cm (Since, radius cannot be negative) Radius of the circle = 14 cm Diameter of the circle = 2r = 28 cm Length of the rectangle = (28/7) × 11 = 44 cm Breadth of the rectangle = (28/7) × 7 = 40 cm Perimeter of the rectangle = 2 × (44 + 40) = 168 cm Circumference of the circle = 2 × (22/7) × 14 = 88 cm Required difference = 168 – 88 = 80 cm
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