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If the radius of a circle is increased by 35% then, its area increases by1). 58 percent2). 29 percent3). 33.205 percent4). 82.25 percent |
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Answer» Let r and A be the RADIUS and area of the circle. ⇒ A = πr2----(1) When r is INCREASED by 35%, new area is: ⇒ A’ = π(1.35r) 2 ⇒ A’ = 1.8225πr2----(2) ∴ % increase in area = ((1.8225πr2 – πr2) /πr2) × 100 = 82.25% |
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