A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the areas of
the minor and major segments. (Take 1 = 3.14, root3 = 1.732 and sin 60°=root3/2
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Radius of circle =r=30 cm
Area of minor segment = Area of sector – Area of triangle … (1)
Area of major segment = Area of circle – Area of minor segment …(2)
Area of sector =
360
θ
×πr
2
=
360
60
×3.14×30×30=471 cm
2
Area of triangle =
4
3
(side)
2
(Since it form a equilateral triangle)
=
4
3
×30×30=389.7 cm
2
Area of minor segment =471–389.7=81.3 cm
2
[using (1)]
Area of major segment =π(30
2
)−81.3=2744.7 cm
2
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