the formula for the circumference of a circle is c = 2πr, where r is the radius and c is the circumference…

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. o r = 4 o r = 8 o r = 12 o r = 16

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. o r = 4 o r = 8 o r = 12 o r = 16

Answer

Explanation:

Step1: Substitute given value

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

Step2: Simplify the fraction

Cancel out $\pi$ and simplify $\frac{16}{2}$. $r = 8$

Answer:

$r = 8$ (corresponding to the second option in the multiple - choice list)