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Question
A chord of circle of radius 14cm makes a right angle at the centre. Find the areas of minor and major segments of the circle.
Solution
Radius (r) = 14cm
๐ = 90°
= OA = OB
Area of minor segment (ANB)
= (๐๐๐๐ ๐๐ ๐ด๐๐ต ๐ ๐๐๐ก๐๐) − (๐๐๐๐ ๐๐ Δ๐ด๐๐ต)
=`theta/360^@× pir^2 −1/2`× ๐๐ด × ๐๐ต
=`90/360×22/7× 14 × 14 −1/2× 14 × 14`
= 154 − 98 = 56๐๐2
Area of major segment (other than shaded)
= area of circle – area of segment ANB
= ๐๐2 − 56
=`22/7`× 14 × 14 − 56
= 616 – 56
= 560 cm2.
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