Q. 35.0( 3 Votes )

If a chord of (O, 20) subtends right angle at O, find the area of the minor segment.

Answer :

Given radius = 20cm


if we connect the chord to the center point that forms a segment.


the centre measure angle (θ) =90o


we can observe a right-angled triangle OAB



Area of segment =


=


= 314 cm2


Area of the triangle = OA× OB


= × (20) × (20)


= 200 cm2


Area of minor segment = Area of segment - Area of the triangle


= 314 – 200


= 114 cm2


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