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°. rounded to the nearest tenth of a centimeter, what is the length of arc lmn?

Nearest tenth length of arc LMN = 14.2 cm

Step-by-step explanation:

Given : 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°.

To find : What is the length of the arc LMN?

Solution :

Radius is r=6 cm

Angle MON make 75°

Convert degree into radian

Length of an arc is given by:          

Substitute the value given in the formula, 

Therefore, The length of arc MN is 7.85 cm

We have given length of arc LM is 6.3 cm

Length of arc LMN = Length of arc MN+ length of arc LM

Length of arc LMN = 7.85+ 6.3

Length of arc LMN = 14.15 cm

Nearest tenth length of arc LMN = 14.2 cm

(Refer the attached figure below)