# What is the area of a circle with radius 14?

Apr 30, 2018

The area is $196 \pi$, or $615.752160$ when evaluated to 6 decimal places.

#### Explanation:

There is an equation for the area of a circle:

$A = \pi {r}^{2}$

Where $A$ is the area and $r$ is the radius. $\pi$ is $\pi$, it is its own number. Plugging in the radius stated we can evaluate:

$A = \pi {\left(14\right)}^{2}$

$\textcolor{g r e e n}{A = 196 \pi}$

If we write out $\pi$ and evaluate with an (un)reasonable amount of decimal places:

$\pi \cong 3.1415926536$

$A = 196 \times \left(3.1415926536\right)$

$\textcolor{g r e e n}{A \cong 615.752160}$

Apr 30, 2018

The area of the circle is $615.75$ units""^2

#### Explanation:

Area of a circle is defined with this equation: $A = \pi {r}^{2}$

When $r = 14$,

$A = \pi {\left(14\right)}^{2}$
$\textcolor{w h i t e}{A} = 615.75$ units""^2