Question

In OJ, KM is a diameter with length of 18, and KJL= 120°. Find the length of KL in terms of pie.

Answer 1

Using the formula to calculate the arc length

`\text{arc length}=(\theta)/(360)\cdot2\pi r`

where θ is the angle and r is the radius

In this case

θ=120

r=18/2=9

we substitute the values in the formula

`\text{arc length =KL}=(120)/(360)\cdot2\pi(9)=6\pi`