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find the length s of the arc that subtends a central angle of measure 6 rad in a circle of radius 4 cm.

Sagot :

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.

To learn more about the length of an arc, refer to the link:https://brainly.com/question/2005046

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