Question

Find the area of a semi-circle with diameter 34. Leave your answer in terms of pi.

Answer 1

since we know the diameter is 34, that means its radius is half that, or 17.

`\textit{area of a full circle}\\\\ A=\pi r^2 ~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=17 \end{cases}\implies A=\pi (17)^2\implies \stackrel{ \textit{half that for a semicircle} }{A=\cfrac{\pi (17)^2}{2}\implies A=144.5\pi}`