3
7. 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.
(Use t= 3.14 and 13 = 1.73)
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Answer:
Area of segment is angle/360 x πr2 - (r2 x sin(angle/2)° x cos(angle/2)°)
=120/360 x 3.14 x 12 x 12 - (12 x 12 x sin60 x cos60)
=144(3.14/3 - √3 /4)
=144(3.14/3 - 1.73/4)
=144(12.56 - 5.19) /12
=12 x 7.37
=88.44
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