Question

A slice of a circular pizza 18 inches in diameter is cut into a wedge with a 45 degree angle. Find the area of the wedge and round to the nearest tenth of a unit.Include units in your answer using the provided buttons.

Answer 1

The formula for the area of wedge is,

`A=(\theta)/(360)\cdot\pi((d)/(2))^2`

Determine the area of wedge with theta = 45 degree and d = 18 in.

`\begin{gathered} A=(45)/(360)\cdot\pi((18)/(2))^2 \\ =0.125\pi\cdot81 \\ =31.80 \\ \approx31.8 \end{gathered}`

So area of wedge is 31.8 in^2.