Calculate Circle Radius: Using Circumference = 14 and C = 2πr

The circumference of a circle is 14.

How long is the circle's radius?

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Step-by-step video solution

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00:05 First, let's find the radius of the circle.
00:08 We'll use the formula for the circumference of a circle, which is two times pi times R.
00:17 Now, we'll take the given circumference, plug it into the formula, and solve for the radius.
00:23 Let's focus on isolating R, the radius.
00:28 And there we go! That's how you find the radius of a circle. Great job!

Step-by-step written solution

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1

Understand the problem

The circumference of a circle is 14.

How long is the circle's radius?

2

Step-by-step solution

We begin by using the formula:

P=2πr P=2\pi r

We then insert the given data into the formula:

14=2×π×r 14=2\times\pi\times r

Lastly we divide Pi by 2:

142π=2πr2π \frac{14}{2\pi}=\frac{2\pi r}{2\pi}

7π=r \frac{7}{\pi}=r

3

Final Answer

7π \frac{7}{\pi}

Practice Quiz

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\( r=2 \)

Calculate the circumference.

222

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