What is the are of the sector

Question

A circle with area 9Pi has a sector with a central angle of 17/9Pi radians

Answer 1

Since the area of the circle is 9π, the radius,r, is 3.

Area of sector = (1/2)r²θ, where θ is the radian measure of the central angle of the sector.

So, area of sector = (1/2)(9)(17/(9π)) = 17/(2π)

Answer 2

r^2pi=9pi=28.274...°

r=3

sector=17/9pi/rad

=5.937...

28.274/360*5.937=.466...

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