Question

The radius of a circle is 6 feet. What is the area of a sector bounded by a 30° arc?

Answer 1

For this case we have that by definition, the area of a circular sector is given by:

`A = \frac {\alpha}{360}\pi r^2`

Where,

• r: radius of the circle
• α: Central angle

Therefore, replacing values we have:

`A = \frac {30} {360} \pi (6) ^ 2\\A = 9.42 ft ^ 2`

Answer:

The area of a sector bounded by a 30 ° arc is:

`A = 9.42 ft ^ 2`