The radius of a circle is 2 miles. What is the area of a sector bounded by a 180° arc?Give the exact answer in simplest form.

The area of the sector is 44/7 square miles
For a circle, the total angle subtended at the center is 360
Hence, an arc that subtends an angle at the center of the circle is a semi-circle
So, by finding the area of the circle and dividing by 2, we have the area of the sector
Mathematically, we have this as;
[tex]\text{Area = }\frac{\pi\times r^2}{2}\text{ = }\frac{3.142\times2^2}{2}\text{ = 2 }\times\text{ 3.142 = 2}\pi\text{ or}\frac{44}{7}mi^2[/tex]