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 =}(\theta\cdot\pi)/(360)\cdot r^2`

where:

r= radius = 6 ft

Θ = angle = 66°

Replacing:

`A=(66\cdot\pi)/(360)\cdot6^2`

A= 33/5 π