1.

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

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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