Question
The ratio of the length of a rectangle, breadth of the
rectangle and the diameter of a circle is 12:10:7. 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 = (14/7) × 12 = 24 cm Breadth of the rectangle = (14/7) × 10 = 20 cm Perimeter of the rectangle = 2 × (24 + 20) = 88 cm Circumference of the circle = 2 × (22/7) × 7 = 44 cm Required difference = 88 – 44 = 44 cm
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