Get Answers to all your Questions

header-bg qa

1. a) Find the rate of change of the area of a circle with respect to its radius r when
  r = 3 cm

Answers (1)

best_answer

Area of the circle (A) =  \pi r^{2}
Rate of change of the area of a circle with respect to its radius r = \frac{dA}{dr} = \frac{d(\pi r^{2})}{dr} = 2 \pi r
So, when r = 3, Rate of change of the area of a circle = 2 \pi (3)  = 6 \pi
Hence, Rate of change of the area of a circle with respect to its radius r when r = 3 is  6 \pi

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads