Question

how much wood is needed to make the circular bottom of a bird house if the diameter of the bottom is 12 inches

Answer 1

We are asked to find out how much wood is needed to make the circular bottom of a birdhouse if the diameter of the bottom is 12 inches​.

Recall that the circumference of a circular shape is given by

$C=2\cdot\pi\cdot r$

Where π is a constant and r is the radius.

The radius and diameter of a circle are related as

$r=\frac{D}{2}$

So, the circumference of the circle becomes

$\begin{gathered} C=2\cdot\pi\cdot r \\ C=2\cdot\pi\cdot\frac{D}{2} \\ C=\pi\cdot D \\ C=\pi\cdot12 \\ C=36.7\: in \end{gathered}$

Therefore, 36.7 inches of wood is needed to make the circular bottom of a birdhouse.