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A chord of a circle of radius 12 cm subt...

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.

Text Solution

Verified by Experts

The correct Answer is:
`88.44cm^2`
Area of segment = Area of the corresponding sector - Area of triangle created at the centre
Here, the area`=120^@/360^@xxpi(12)^2-sqrt3/4xx12^2=(pi/3-sqrt3/4)xx144=88.44cm^2`
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