Find the area of a secter of a circle angle x is 150° and radius of circle is 9 cm

Question

Find the area of sector also

Answer 1

circle area with radius = 9 cm

is pi(9^2) = 81pi cm^2

sector with angle 150 degrees has area

= 150/360 times 81pi

= (5/12)(81pi)

= (5/4)27pi

= 135pi/4 cm^2

= about 135(3.141593)/4 cm^2

= about 106.03 cm^2

150 degrees = 5pi./6 radians

((5pi/6)/(2pi))81pi

=(5/12)(81pi)

= (5/4)(27pi)

=135pi/4 cm^2

= about 106.03 cm^2