Question

the formula for the circumference of a circle is c = 2πr, where r is the radius and c is the circumference. the equation solved for r is r = \frac{c}{2π}. find the radius of a circle that has a circumference of 16π. r = 4 r = 8 r = 12 r = 16

Explanation:

Step1: Substitute given value

Given $C = 16\pi$, substitute into $r=\frac{C}{2\pi}$. So $r=\frac{16\pi}{2\pi}$.

Step2: Simplify the fraction

Cancel out $\pi$ in the numerator and denominator. $\frac{16\pi}{2\pi}=\frac{16}{2}=8$.

Answer:

B. $r = 8$