In circle L with m^KLM 54 and KL= 10 units, find the length of arc KM. Round to the nearest hundredth.

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

         ...(i)

Where, r is the radius of the circle and is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting in (i), we get

Therefore, the length of arc KM is 9.42 units.

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step-by-step explanation: