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Shashank Sharma Grade:
        

The measure of central angle θ (in radian) that cuts from a given circle both an arc of length of 14∏ metres & a corresponding sector of area 168∏ metres square ?

5 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

dear shashank ,


total  area of circle = A


 for 2pi rad area = A


for 1 rad area = A/2pi


for θ radian area = Aθ/2pi     =   R2θ/2  ............1                ( A = piR2 )


arc/radius =  θ


arc = θR          ............2


area = R2 θ = 168pi      .......3                   (given)


arc = R θ = 14pi           .......4                     (given)


 solving  3 & 4  we get


 θ = 7pi/12               ans


approve if u like my ans

5 years ago
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