Question

A circle with radius 3 3start color #ff00af, 3, end color #ff00af has a sector with a central angle of 1 9 π 9 1 ​ πstart color #9d38bd, start fraction, 1, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

I will give as much points as possible

Answer 1

π/2 or 1.57 square units

Explanation:

The area of a sector with central angle θ is given by the formula ...

A = (1/2)r²θ

Filling in the given value, we find the area to be ...

A = (1/2)(3²)(π/9) = π/2 . . . . square units

Using 3.14 for π, this is ...

A = 3.14/2 = 1.57 . . . . square units