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2013
Mathematics
JAMB
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.
0.75cm
2
S
-1
B.
0.53cm
2
,S
-1
C.
0.35cm
2
S
-1
D.
0.88cm
2
S
-1
Correct Answer:
0.88cm
2
S
-1
Explanation
A = πr
2
, 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 = 0.88cm
2
S
-1
A = πr
2
, 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 = 0.88cm
2
S
-1
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