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Question

The radius of a circle with centre O is 7 cm . Two radii OA and OB are drawn at right angles to each other. Find the areas of minor and major segments.

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Solution


Radius of a circle =7 cm
Area of circle =πr2=227×7×7=154 cm2
Area of minor segment = Area of minor sector area of triangle
=πr2×θ36012r2sinθ [θ is the angle subtended by the minor segment at the centre ]
=227×7×7×9036012×7×7×sin90 [θ=90]

=772492=77492=282=14 cm2
Area of major segment = Area of circle Area of minor segment
=15414=140 cm2
Therefore, area of major segemnt is 140 cm2

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