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A chord of a circle subtends an angle of 60º at the centre. If the length of the chord is 100 cm, find the area of the major segment.

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A chord of a circle subtends an angle of 60º at the centre. If the length of the chord is 100 cm, find the area of the major segment. 

(A) 30720.5 cm2 

(B) 31021.42 cm2 

(C) 30391 .7 cm2 

(D) 30520.61 cm2

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1 Answer

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Best answer

The correct option is: (D) 30520.61 cm2

Explanation:

In ΔOAB, by angle sum property

=> ΔOAB is an equilateral triangle.

Area of major segment

= Area of major sector + Area of ΔOAB

= 26190.48 + 4330.13 = 30520.61 cm2

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