W what must be the radius of a wheel if an Arc 24 π cm long subtends an angle of 72° at the centre
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Given
⇒ Length of an arc =20πcm
⇒ θ=144
o
⇒ Length of an arc =
360
o
θ
(2πr)
Where, θ is angle subtended at a center.
2πr is circumference of a circle.
∴ 20π=
360
o
144
o
×2πr
∴ r=
4
100
=25cm
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