1.

If the radius of a circle is increased by 15% its area increases by _____. 1). 30 percent2). 32.25 percent3). 15 percent4). 16.125 percent

Answer»

Let the initial RADIUS be ‘r’.

⇒ Area of CIRCLE = πr2(1)

Now, radius is increased by 15%

NEW radius = r’ = r + 0.15r = 1.15r

∴ Area = πr’2 = π(1.15r)2 = 1.3225πr2(2)

From (1) and (2)

% increase in Area = ((1.3225πr2 – πr2)/πr2) × 100 = 32.25%


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