Question

Find the shaded area (round answer to 3 sig figs).

Answer 1

1. Let us find the area of the sector:

2. The area of the triangle would be:

`\begin{gathered} At=(1)/(2)\cdot ab\cdot\sin (\theta)\text{ (Area of a non right-angled triangle)} \\ At=(1)/(2)\cdot(12)\cdot(12)\cdot\sin (85)\text{ (Replacing)} \\ At=71.726cm^2 \end{gathered}`

3. Subtracting the area of the triangle from the area of the sector, we have:

106.814 cm^2 - 71.726 cm^2 = 35.088 cm^2

The answer is 35.088 cm^2