Answer:
l = 5.62 units
Step-by-step explanation:
The formula for measuring the length of an arc is expressed as;
[tex]l = r \theta[/tex]
r is the radius
[tex]\theta[/tex] is the central angle in radians
r = LM = 7units
[tex]\theta = \frac{46 \pi}{180} \\\theta = \frac{23 \pi}{90} \\[/tex]
Substitute into the formula
[tex]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[/tex]
Hence the length of arc LN is 5.62 units to the nearest hundredth
