Question

find the area of a sector with a central angle of 1/2 pi and a radius of 11.3

Answer 1

First, let's find the length of an arc:

$L=\text{r}\cdot\theta=11.3\cdot\frac{\pi}{2}=\frac{113\pi}{20}$

Therefore, the area is:

$A=\frac{rL}{2}\approx100.3$