Question

The radius of a circle is 6 feet. What is the area of a sector bounded by a 66° arc?Give the exact answer in simplest form. ____ square feet. (pi, fraction,)

Answer 1

$\text{Area of a sector =}\frac{\theta\cdot\pi}{360}\cdot r^2$

where:

r= radius = 6 ft

Θ = angle = 66°

Replacing:

$A=\frac{66\cdot\pi}{360}\cdot6^2$

A= 33/5 π