Area of a sector of a circle of radius 36 cm is 54 π cm2
.Find the central angle.
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Given area of sector of circle =54π cm2
Radius of circle=36cm
Now area of circle=πr2×(360θ)
54π=360θ×πr2
360θ=36×3654 …………(1)
and length of arc=2πr(360θ)
L=2π×36×36×3654
[Length of arc =3πcm].
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