Find the area of a segment formed by a chord 8" long in a circle with radius of 8".

If a chord is 8`` long then α = 60° = π/3 ( the angle between the line segments connecting the ends of the chord and the center of the circle).
A = 1/2 r² ( α - sin α ) = 1/2 · 8² ( π/3 - sin π/3 ) =
= 1/2 · 64 ( 1.046 - 0.866 ) = 5.76 in²
The area of a segment is 5.76 in²