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: Identify the given values

Given $C = 16\pi$, and the formula $r=\frac{C}{2\pi}$.

Step2: Substitute the value of C

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

Step3: Simplify the expression

Cancel out $\pi$ and calculate $\frac{16}{2}$, so $r = 8$.

Answer:

B. $r = 8$