Math, asked by kismatali4629, 1 year ago

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


fury5left: it is not the area of minor segment.it is area of segment
fury5left: sector*

Answers

Answered by fury5left
1

formulae of area of minor segment=theeta/360*πr²

r=42cm,lenght of arc is 44cm

length of arc = theeta/360*2πr

44=theeta/360*2*22/7*42

44=264*theeta/360

44*360=264theeta

theeta=1584/264

theeta=60

area of minor segment=60/360*22/7*42*42

=924cm²


fury5left: further answer , area of equilateral=root3/2*side square (because angle made by arc is 60 degree)
fury5left: =294root3
fury5left: =924-294*1.732
fury5left: =414.792cm^2
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