# What is the area of the circle if the radius of the circle is x+3?

Apr 27, 2018

$A = \pi {\left(x + 3\right)}^{2}$

#### Explanation:

The formula for the area of a circle is $\pi {r}^{2}$

So for the given radius of $\left(x + 3\right)$, the area can be written as:

$A = \pi {\left(x + 3\right)}^{2}$

This is probably an easier way to use it but it cannot be evaluated until a value for $x$ is given.

This answer could also be simplified to give:

$A = \pi \left({x}^{2} + 6 x + 9\right)$

I don't think there is any advantage to removing the brackets,