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The length of the arc to the nearest hundredth is 15.07units

How to calculate the length of an arc

The formula for calculating the length of an arc is expressed as:

L = rtheta

  • r is the radius
  • theta is the subtended angle

Given the following

r = JK = 6 units

theta = <JKL = 144 degrees = 4π/5

Substitute

L = 6 * 4/5π
L = 24/5π
L = 15.07 units

Hence the length of the arc to the nearest hundredth is 15.07units

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