The length of arc LMN is the number of units on the arc
The length of arc LMN is 14.2 cm
How to calculate the length of the arc?
The given parameters are:
- Arc LM = 6.3 cm
- Radius, r = 6 cm
- Angle MON = 75 degrees
Start by calculating the length of arc MN using:
[tex]MN = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]MN = \frac{75}{360} * 2 * 3.14 * 6[/tex]
Evaluate the product
MN = 7.85
The length of arc LMN is then calculated using:
LMN = LM + MN
This gives
LMN = 6.3 + 7.85
Evaluate the sum
LMN = 14.15
Approximate
LMN = 14.2
Hence, the length of arc LMN is 14.2 cm
Read more about arc lengths at:
https://brainly.com/question/15589041
