passpadi

2002

Mathematics

JAMB

A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

A.

B.

C.

π

D.

Correct Answer:

Explanation

Area of the circle (A) = πr2 dA/dr = 2πr r = 5cm ; dr/dt=0.2 dA/dt = dA/dr.dr/dt dA/dt=2π × 5 × 0.2 = 2π

Area of the circle (A) = πr2 dA/dr = 2πr r = 5cm ; dr/dt=0.2 dA/dt = dA/dr.dr/dt dA/dt=2π × 5 × 0.2 = 2π
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