The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .

Find the radius of a circle that has a circumference of 16.

Verified Answer :

The answer is r = C/2π; r = 8/π

C = 2πr

Divide both sides by 2
π:
C/2
π = 2πr/2
C/2
π = r

r = C/2
π
C = 16
r = 16/2
π
r = 8/
π

Answer: 8 units

Step-by-step explanation:

Given: The formula for the circumference of a circle is \(C=2\pi r\), where r is the radius and C is the circumference.

To solve equation for r , we divide \(2\pi\) on both sides, we get

\(r=\dfrac{C}{2\pi}\)

Now, the circumference of the circle = \(16\pi \text{units.}\)

Then, \(r=\dfrac{16\pi}{2\pi}=8\ \text{units}\)

Hence, Circumference of the circle = 8 units