Question
The radius of a circle is increasing at the rate of $0.7 \mathrm{~cm} / \mathrm{s}$. What is the rate of increase of its circumference?
Step 1
We know that the circumference of a circle is given by the formula $C = 2\pi r$. Show more…
Show all steps
Your feedback will help us improve your experience
Tanishq Gupta and 51 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Area The radius $r$ of a circle is increasing at a rate of 4 centimeters per minute. Find the rates of change of the area when $r=37$ centimeters.
Differentiation
Related Rates
What is the rate of change of the circumference $C$ of a circle with respect to the area $A$ of the circle?
Using Differentials and Derivatives
The radius of a circle is increasing uniformly at the rate of $3 \mathrm{~cm} / \mathrm{s}$. Find the rate at which the area of the circle is increasing when the radius is $10 \mathrm{~cm}$.
Application of Derivatives
Introduction
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD