Question

The circumference of a circle is 28π inches. What is the length of the radius of this circle?

14 in.
21 in.
28 in.
56 in.
Please help fast

Answer 1

14

Explanation:

took the quiz

Answer 2

The radius of the circle is 14 inches.

Explanation:

How is the circumference of a circle related to its radius?

`\displaystyle \text{Circumference} = \pi* \text{Diameter} = \pi\;(2* \text{Radius})`.

In brief,

`\text{Circumference} = 2\pi* \text{Radius}`.

For this question,

• 
  `\text{Circumference} = 28\pi`, and
• 
  `\text{Radius}` needs to be found.

Divide both sides of the equation by
`2\pi`:

`\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}`.

`\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = (28\pi)/(2\pi) = 14`.

In other words, the radius of this circle is 14 inches.