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=(D)/(2)`

So, the circumference of the circle becomes

`\begin{gathered} C=2\cdot\pi\cdot r \\ C=2\cdot\pi\cdot(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.