Question

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$\huge \fbox \red{❥ Question}$



Find the area of the segment AYB shown in the figure, if the radius of the circle is 21 cm and ∠ AOB = 120°. (Use π = 22/7).​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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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