# A chord of a circ

Length of the chord = 10 cm

Angle of measure = 90o

since triangle ABC is a right-angled triangle

AB, AC is same as the radius of the circle

BC2 = AB2 + AC2

102 = r2 + r2

100 = 2 r2

50 = r2

r = √50

Area of segment =

=

= 39.25 cm2

Area of the triangle = AB× AC

= × (√50) × (√50)

= 25 cm2

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

= 39.25 – 25

= 14.25 cm2

Area of major segment = Area of circle - Area of minor segment

= π r2 – 14.25

= 3.14 × (√50)2 – 14.25

= 142.82 cm2

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