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denis-greek [22]
3 years ago
10

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.

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

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

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