Question

Find the area of the segment of a circle of radius 14 cm, when the angle of the corresponding sector is 30°.

Answer 1

Answer:

51.33 cm^2

Step-by-step explanation:

Area of Segment = Angle of sector/360* PI*(Radius)^2

                              = 30/360*PI*14^2

                              = 1/12*22/7*14*14

                             =1/12*616= 51.33 cm^2

Answer 2

area of segment =area of sector - area of triangle
area of segment = πr^2thita/360-1/2r^2sin30
area of segment =r^2(22/7×30/360-1/2×1/2)
area of segment =196(11/42-1/4)
area of segment =196(44-42/168)
area of segment =196(2/168)
area of segment =196(1/84)
area of segment =196/84
area of segment =196/84cm^2