Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
