Question

The circumference of a circle is 14π ft. What is the area, in square feet? Express your answer in terms of π.

Answer 1

$circumference \: = 2\pi \: r$

$14 \: \pi = 2\pi \: r$

$r \: = \frac{14\pi}{2\pi}$

$r \: = 7$

$area \: = \pi {r}^{2}$

$area \: = \pi \: {(7)}^{2}$

$area \: = 49 \: \pi \: ft$²