Question

Referring to the figures, find the area of the shaded regionshown. Round the answer to the nearest hundredth.

Answer 1

Given:

`r=3in;unshadedregion=45^(\circ)`

`\begin{gathered} \text{Shaded region (}\theta)=360^(\circ)-45^(\circ) \\ \text{Shaded region (}\theta)=315^(\circ) \end{gathered}`

`\begin{gathered} \text{Area of the shaded region=}(\theta)/(360)*\pi* r^2 \\ \text{Area of the shaded region=}(315)/(360)*(22)/(7)*3*3 \\ \text{Area of the shaded region}=(62370)/(2520) \\ \text{Area of the shaded region}=24.75in^2 \end{gathered}`