2013
Mathematics
67ca00ce0c643c71d77dee1f
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.
0.53cm2,S-1
C.
0.35cm2S-1
D.
0.88cm2S-1
Correct Answer: 0.88cm2S-1
Explanation
A = πr2, δA/δr = 2πr So, using δAδt = δA/δr x δAδt = 2πr x 0.02 = 2π x 7 x 0.02 = 2 x 22/7 x 0.02 = 0.88cm2S-1
A = πr2, δA/δr = 2πr So, using δAδt = δA/δr x δAδt = 2πr x 0.02 = 2π x 7 x 0.02 = 2 x 22/7 x 0.02 = 0.88cm2S-1THIS WEEK's
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