60.6k views
1 vote
The radius of a circle is 6 feet. What is the area of a sector bounded by a 30° arc?

1 Answer

5 votes

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

User Tek Yin
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories