A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. please explain me in easy way?

Question

A chord of a circle of radius 12 cm subtends an angle of
120° at the centre Find the area of the corresponding segment
of the circle please explain me in easy way?

Gursheen kaur. · Accepted Answer

Draw a perpendicular OV on chord ST It will bisect the chord ST SV = VT In Î”OVS,

Area of Î”OST

Now, Area of sector OSUT

âˆ´Area of segment SUT = Area of sector OSUT - Area of Î”OST=150 72-62 28 â‡’Area of segment SUT = 88 44 $c m^{2}$