Math Problem Statement

The circumference of a circle is 13π inches. Find its radius, in inches.

Solution

It seems you've uploaded a new file with a similar question about the radius of a circle. The problem asks to find the radius when the circumference of a circle is 13π13\pi inches.

We can use the formula for the circumference of a circle:

C=2πrC = 2\pi r

Given that the circumference C=13πC = 13\pi, we can substitute this into the formula:

13π=2πr13\pi = 2\pi r

Now, solve for rr by dividing both sides by 2π2\pi:

r=13π2πr = \frac{13\pi}{2\pi}

Cancel out the π\pi's:

r=132=6.5r = \frac{13}{2} = 6.5

So, the radius is 6.5 inches.

Do you need further explanation or have any questions about this solution? Here are some related questions you might find useful:

  1. How would you calculate the area of a circle given its radius?
  2. What happens to the circumference of a circle if the radius is doubled?
  3. How do you derive the formula for the circumference of a circle?
  4. What is the difference between diameter and radius in a circle?
  5. How can you calculate the volume of a sphere from its radius?

Tip: Whenever you're dealing with the circumference formula, remember that it's C=2πrC = 2\pi r, where the radius is a

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference and Radius

Formulas

C = 2πr

Theorems

Circumference formula of a circle

Suitable Grade Level

Grades 6-8