Express answer in exact form. Show all work for full credit. A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.
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angle of the sector 120.
Joining the centre of the circle and midpoint of the chordweget a Rtangled triangle each Base (ie,chord/2)=4cm
angles ofeach triangles are 30:60: 90
the opposite sides will bel: V3:2
the radius will be the side opposite to 90°
=8 /v3 Area of the segment = Sector area- triangle area
120/360 X 3.14x(8/v3) 2-1/2 x8x4/v3
200.96 - 9.25=191.71 cm2
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