Question

Find the length of the arc of the circle.

Answer 1

Answer:

25.12 in

Step-by-step explanation:

In the given circle

• radius (r) = 12 in

• central angle $(\theta) = 120\degree$

• Formula for length of arc is given as:

• $l=\frac{\theta}{360\degree}\times 2\pi r$

• Plugging the values of r and $\theta$ in the above equation, we find:

• $l=\frac{120\degree}{360\degree}\times 2(3.14) (12)$

• $\implies l=\frac{1}{3}\times 2(3.14) (12)$

• $\implies\huge\red{ l=25.12\:in}$