Question
The circumference of two circles are 132 cm and 88 cm
respectively. What is the difference between the area of the larger circle and the smaller circle?Solution
Circumference of larger circle = 2πr 132 = 2 × 22/7 × r r = (132 × 7)/(22 × 2) = 21 cm. Area of a larger circle = πr² = 22/7 × 21 × 21 = 1386 cm. Circumference of smaller circle = 2πr 88 = 2 × 22/7 × r r = (88 × 7)/(22 ×2) = 14 cm. Area of a smaller circle = πr² = 22/7 × 14 × 14 = 616 cm. ∴ Required difference = 1386 – 616 = 770 cm.
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