Question

In circle M with m \angle LMN= 46m∠LMN=46 and LM=7LM=7 units, find the length of arc LN. Round to the nearest hundredth.

Answer 1

Answer:

l =  5.62 units

Step-by-step explanation:

The formula for measuring the length of an arc is expressed as;

$l = r \theta$

r is the radius

$\theta$ is the central angle in radians

r = LM = 7units

$\theta = \frac{46 \pi}{180} \\\theta = \frac{23 \pi}{90}$

Substitute into the formula

$l = 7 \times \frac{23 \pi}{90} \\l = 7 \times \frac{23 \times 3.14}{90} \\l = 7 \times 0.8024\\l = 5.62 units$

Hence the length of arc LN is 5.62 units to the nearest hundredth