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Find the area of the segment AOB of angle 1200 and radius 18 cm
 

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by (200 points)

Given angle of arc = 120 degrees

radius of circle = 21 cm

Area of circle = π*r^2  =3.14*21*2 =1386 cm sq 

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

 

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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