The radius of a circle measures 5 inches. A central angle of the circle measuring 5π/12 radians cuts off a sector.
What is the area of the sector?
The central angle measures 5pi/12.
The full circle measures 2pi.
Finding the portion of the circle: (5pi/12) / 2pi = 5/24th of the circle.
The area of the circle is: pi · (5 in)2 = 25pi in2
Finding 5/24th of the circle: (5/24) · (25pi in2) = 125/24 pi in2
