Math, asked by anamoltr1234, 18 hours ago

if the diameter of circle makes 120degrees and radius is 21 cm than find the area of 120 degree

Answers

Answered by nirajlokhande1174
1

Answer:

Given angle of arc = 120 degrees

radius of circle = 21 cm

Area of circle = π*r^2

=3.14*21*21

=1386 cm²

Area of Arc= (angle of arc/ 360)*area of circle

= (120 /360)*1386

=1386/3

=462 cm²

Area of triangle = a*b*sinx / 2

=21*21*sin(120) /2

=190.96 cm²

Area of segment = area of arc - area of triangle

=462 - 190.96

=271.04 cm²

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