I'm guessing that you want to find the segment area of a circle that has a radius AO = 8" and a chord AB with a length of 8".
Sine angle AOD = AE / OA
Sine angle AOD = 4 / 8
Sine angle AOD = .5
arc sine (.5) = 30 degrees
So, angle AOB = 60 degrees
Circle Area = PI * radius^2
Circle Area =
201.06
Sector Area = (60/360) * 201.06
Sector Area = 33.51
Line OE^2 = AO^2 -AE^2
Line OE^2 = 64 -16
Line OE =
6.9282032303
Triangle AOB Area = OE*AE =
6.9282032303 * 4
Triangle AOB Area =
27.7128129211
Segment Area = Sector Area -Triangle AOB Area
Segment Area = 33.51 -27.71
Segment Area = 5.80
