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The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate...

Mathematics
JAMB 2013

The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.
  • A. 0.75cm2S-1
  • B. 0.53cm2S-1
  • C. 0.35cm2S-1
  • D. 0.88cm2S-1
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Correct Answer: Option D
Explanation
A = \(\pi\)r2, \(\frac{\delta A}{\delta r}\) = 2πr

So, using \(\frac{\delta A}{\delta t}\) = \(\frac {\delta A}{\delta r}\) x \(\frac {\delta A}{\delta t}\)

= 2\(\pi\)r x 0.02

= 2\(\pi\) x 7 x 0.02

= 2 x \(\frac{22}{7}\) x 0.02

= 0.88cm2s-1

There is an explanation video available below.


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Explanation Video

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