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Question

Find the area of the segment AYB. shown in the adjacent fig. Given radius of the circle is 21 cm and <AOB=120c(Use π=227, 3=1.732)
1195326_e4d24af309444167b85b46e230ea687a.PNG

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Solution

The area of segment is given as area of sector -area of triangle

Radius of circle is 21cm

The angle at center is 120

Area of sector is x360×π×r×r
=120360×227×21×21
=22×21=462cm2

Area of triangle 12absinθ
=12×21×21sin120
=44134=190.953

Area of segment is =462190.953=271.047cm2

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