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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 ?
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
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