find the area of the segment a y b show in figure if radius of a circle is 21 cm and the angle abc is equals to 120 degree
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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
Step-by-step explanation:
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