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Multiple choice

The rate of change of the area of a circular disc with respect to its circumference when the radius is 3 cm, is.

  1. 1 cm

  2. 4 cm

  3. 3 cm

  4. 2 cm

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area A = pi * r^2, Circumference C = 2 * pi * r. dA/dr = 2 * pi * r, dC/dr = 2 * pi. dA/dC = (dA/dr) / (dC/dr) = (2 * pi * r) / (2 * pi) = r. Given r = 3, the rate is 3.

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