2002
Mathematics
67ca00ce0c643c71d77dee1f
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.
2π
B.
5π
C.
π
D.
4π
Correct Answer: 2π
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 = 2πTHIS WEEK's
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