Question

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answer 1

If u see circle make 360° as a whole
So 45 ° is 1/8th of the entire angle

If u find whole area of a circle= pi×r^2
r=4 ft
A= 16π
So divide it by 8
A= 2π feet^2

Answer 2

Sinc the radius of the circle is 4 feet, the area = $\pi$$r^{2}$. The area would equal $16 \pi$. Then, $\frac{360}{45}$ would equal 8, and $\frac{16 \pi }{8}$ would equal $2 \pi$