In circle M with m \angle LMN= 102m∠LMN=102 and LM=11LM=11 units find the of arc length of LN. Round to the nearest hundredth.

Given:

In a circle M with the measure of ∠LMN = 102° and LM = 11 units.

We need to determine the arc length of LN

Arc length of LN:

The arc length of LN can be determined using the formula,

where r is the radius and is the central angle.

Substituting and in the above formula, we get;

Simplifying, we get;

Rounding off to the nearest hundredth, we get;

Thus, the arc length of LN is 19.57 units.

or

6 cm

step-by-step explanation: