The arc of a circle is 6.285 radians
For given question,
we have been given a radius of a circle r = 5 and a central angle θ = 72°
We need to find the arc of a circle.
We know the formula for arc length of the circle is,
s = rθ
where θ is in radians.
First we convert θ = 72° into radians.
72° × π/180 = 1.257 Rad
So, the arc of a circle would be,
⇒ s = r × θ
⇒ s = 5 × 1.257
⇒ s = 6.285 radians
Therefore, the arc of a circle is 6.285 radians
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