Answer = 27/20 pi
Find the area of the arc with the equation:
Area = pi x radius^2 x angle/360
(Multiply the angle/360 with the regular area of a circle formula to find the area of that specific section only (the arc))
The radius is given as 3 in.
The angle the arc makes is 54 degrees.
By substituting the given values into the equation:
Area = pi x 3^2 x 54/360
Area = 27/20 pi
They want the exact answer, so the answer is 27/20 pi, no need to put it into a fully numerical form.