Find the radius of a circle in which a central angle 45 intercepts an arc of length 33cm.
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l=132cml=132cm
θ=45∘θ=45∘
Radian measure =45×π18045×π180
⇒π4⇒π4 radians
Now,by r=lθr=lθ
We have
r=132×4πr=132×4πcm
⇒132×4×722⇒132×4×722cm
⇒168⇒168cm
Hence (C) is the correct answer
l=132cml=132cm
θ=45∘θ=45∘
Radian measure =45×π18045×π180
⇒π4⇒π4 radians
Now,by r=lθr=lθ
We have
r=132×4πr=132×4πcm
⇒132×4×722⇒132×4×722cm
⇒168⇒168cm
Hence (C) is the correct answer
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