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A chord of a circle of radius 10 cm. subtends a right angle at the centre. Find the area of the corresponding: 

i) Minor segment 

ii) Major segment

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Angle subtended by the chord = 90° 

Radius of the circle = 10 cm 

Area of the minor segment = Area of the sector 

POQ – Area of △POQ 

Area of the sector = \(\frac{x}{360}\) × πr

\(\frac{90 }{360}\) × 3.14 × 10 × 10 = 78.5 

Area of the triangle = \(\frac{1}{2}\) × base × height 

\(\frac{1}{2}\) × 10 × 10 = 50 

∴ Area of the minor segment = 78.5 – 50 = 28.5 cm2 

Area of the major segment = Area of the circle – Area of the minor segment 

= 3.14 × 10 × 10 – 28.5 

= 314 – 28.5 cm2 

= 285.5 cm2

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