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 = $\frac{c}{2pi}$. find the radius of a circle that has a circumference of 16π. r = 4 r = 8 r = 12 r = 16

Explanation:

Step1: Identify given values

Given $C = 16\pi$.

Step2: Substitute into formula

Substitute $C$ into $r=\frac{C}{2\pi}$, so $r=\frac{16\pi}{2\pi}$.

Step3: Simplify the expression

$\frac{16\pi}{2\pi}=\frac{16}{2}=8$.

Answer:

$r = 8$