185k views
5 votes
A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?

A circle with radius 9 has a sector with a central angle of 120 degrees. What is the-example-1
User Tamira
by
7.3k points

1 Answer

5 votes

Answer:

A = 27π units²

Explanation:

Note that a central angle of 120 degrees corresponds to 1/3 of a full circle.

The area of the full circle is A = πr², or A = π(9 units)² = 81π units², and so

the area of the sector in question is 1/3 of that, or A = 27π units²

User Sjoseph
by
8.0k 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