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Question
If a chord of a circle of radius 28 cm makes an angle of 90 ° at the centre, then the area of the major segment is
Options
392 cm2
1456 cm2
1848 cm2
2240 cm2
Solution
Area of major segment,
`="Area of circle"=[piθ/360-sin θ/2 cos θ/2](r^2)^2`
`= pi(28)^2-(pi/4-1/2)(28)^2`
`=784pi-196(pi-2)`
`=2240 cm^2`
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