# How do you find a polynomial that represents the area of a circle whose radius is b + 1 meters?

Nov 9, 2015

${b}^{2} \pi + 2 b \pi + \pi$

#### Explanation:

The area of circle is $\pi \cdot {r}^{2}$

if $r = b + 1$
then the area is $\pi \cdot {\left(b + 1\right)}^{2}$

FOIL that out...
$\pi \cdot \left({b}^{2} + 2 b + 1\right)$

and distribute...
${b}^{2} \pi + 2 b \pi + \pi$