Question

Find the area of the shaded segments. Leave your answer in terms of pi or round to the nearest 10th.

Answer 1

Given:

The radius of the circle is 2. and the sector angle is 90 degrees.

The area of the sector is calculated as,

`\begin{gathered} A_S=(\theta)/(360^(\circ))\pi* r^2 \\ A_S=(90^(\circ))/(360^(\circ))*\pi*2^2 \\ A_S=\pi \end{gathered}`

Now, find the area of the triangle. Whose height and the base are 2 units.

`\begin{gathered} A_T=(1)/(2)* h* b \\ A_T=(1)/(2)*2*2 \\ A_T=2 \end{gathered}`

So, the area of the shaded region is,