The measure of central angle xyz is 1.25 radians. what is the area of the shaded sector?

Step onefigure out the area of the entire circle using pi r^2. the second picture shows that r = 8r = 8pi = 3.14area = pi r^2area = 3.14 * 8^2area = 3.14 * 64area = 200.96step 2figure out the area of the unshaded area.formulayou multiply the area by a ratio consisting of 1.25 radians / 2*pi radians this represents the area of the unshaded part. you use 2 pi because that is the angle in radians of the entire circle. it is equal to 360 degrees.  area unshaded part = (1.25 / (2 * pi )) * 200.95area of unshaded part = 251.2 / (2 pi)  the approximate value of 2pi = 2 * 3.14 = 6.28area of unshaded part = 251.2 / 6.28area of the unshaded part = 40step 3 find the area of the shaded part.the area of the shaded part =  entire area - unshaded partarea of shaded part = 200.96 - 40 = 160.96 < < < < < answer.notethere are  shorter ways of doing this where cancellation takes place, but step by step will you to understand what is heppenning.area = pi r^2 - 1.25/2pi * pi r^2area = pi r^2 - 1.25 / 2 * r^2area = 64*pi - 0.625 * 64area = 200.96 - 40 = 160.96  < < < < answer 

The answer to the question is d