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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.

Respuesta :

JcAlmighty
The answer is r = C/2Ï€; r = 8/Ï€

C = 2Ï€r

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

r = C/2Ï€
C = 16
r = 16/2Ï€
r = 8/Ï€
JeanaShupp

Answer: 8 units

Step-by-step explanation:

Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.

To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get

[tex]r=\dfrac{C}{2\pi}[/tex]

Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]

Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]

Hence, Circumference of the circle = 8 units

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