Answer :
The length of the arc for the given circle is 24cm.
What is the length of an arc of a circle?
- The Arc length refers to the distance between two points on a section of a curve or a circle.
- Length of the arc (L) = r Θ, where r = radius of the curve, Θ = angle subtended by the arc at the centre of the curve in radians.
Given:
- Angle = 6 radians = Θ
- Radius of circle = 4cm = r
To find: Length of the arc.
Finding:
On substituting the values of r and Θ in the formula of length of the arc, we get:
L = 4(6) = 24 cm.
Hence, the length of the arc for the given circle is 24cm.
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