Find the area of the sector shown in the figure The area is

Find the area of the sector shown in the figure. The area is. (Simplify your answer. Type an exact answer in terms of pi. Use integers or fractions for any in the expression.)

Solution

area of the sector is given by

A = Cs / 2pi r * pi*r^2

whree Cs = arc length of the sector

r = 3 ( in the figure )

Cs = 2pi

A = 2pi / 2pi* 3 * pi(3)^2

A = (1/3)* 9 pi

A = 3pi

Area = 3pi