Find the area of minor segment of circle of radius 42 cm. If length of corresponding arc is 44cm.

Find the area of minor segment of circle of radius 42 cm. If length of

1.	Find the area of minor segment of circle of radius 42 cm. If length of corresponding arc is 44cm.
Answer» Length of arc = θ/360 2πr = 44 cmPutting r = 42cm, we get θ= 60°Now, Area of minor segment= Area of minor sector-Area of ∆Since = 60°, so the triangle formed will be an equilateral∴ ∆ Area of minor segment= Area of minor sector - Area of equilateral ∆i.e. Area of minor segment = θ/360 πr2 -\xa0√3/4 a2= 924 - 441√3 cm2 76 approx