# If the area of a circle is 35pie square feet, what is the radius, in feet?

Aug 1, 2015

color(green)(rapprox6 feet

#### Explanation:

The area of a circle is given by formula:
color(blue)(pir^2

Where,
$\pi$ has a constant value of $\approx 3.14$
and $r$ denotes the radius.

The area of the circle is $35 \pi$ square feet.

Equating the formula for the area of a circle with area given :

The area:
$\pi {r}^{2} = 35 \pi$

$\cancel{\pi} {r}^{2} = 35 \cancel{\pi}$

$r = \sqrt{35}$

color(green)(rapprox6 feet