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IrinaK [193]
3 years ago
9

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

Answer:

14.2cm

Step-by-step explanation:

Complete question:

<em>In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  </em>

<em>Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  </em>

<em></em>

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

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