Question

Find the length of the arcin terms of pi.12 150° AB = [?]

Answer 1

The length of an arc is given by the formula >>>>

`l=(\theta)/(360)\cdot\pi r^2`

Where

"l" is the length of the arc

θ is the measure of the arc

r is the radius of the circle

Given,

θ = 150°

r = 12

Substituting into the formula, we get >>>

`\begin{gathered} l=(\theta)/(360)\cdot\pi r^2 \\ l=(150)/(360)\cdot\pi(12)^2 \\ l=(5)/(12)\cdot(144\pi) \\ l=60\pi \end{gathered}`

The length of A