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The rate of change of the area of a circle with respect to its radius r when r = 6 is (A) 10 p (B) 12 p (C) 8 p (D) 11 p ?

The rate of change of the area of a circle with respect to its radius r when r = 6 is (A) 10 p (B) 12 p (C) 8 p (D) 11 p
?

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
7 years ago
The radius of the circle is given to be r = 6.
We know that the area of a circle is given by A = pi r2 (πr2)
Hence, the rate of chenge of area of a circle with respect to radius r is dA/ dr
A = pi r2
So, dA/ dr = 2 pi r
= 2 pi . 6
= 12 pi.
Hence (B) is the correct option.
Thanks & Regards
Latika Leekha
askIITians Fauclty

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