Question

A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?

Answer 1

Answer:

A =  27π units²

Step-by-step 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