Question

he circle with center O has a circumference of 8π inches. The central angle is 60°. What is the length of the minor arc BSA?

Answer 1

4π/3 inches

Step-by-step explanation:

Arc length= central angle/ 360° × circumference

Arc length= 69°/360°×8π

Arc length= 480°π/369°

Arc length= 4π/3

Answer 2

Circumference of the circle is 2πr.

It is given that the circumference is 8π.

Therefore, 2πr = 8π

Central angle = 60°

Length of the arc =
`(\alpha )/(360)(2\pi r)`

`=(60)/(360) (2\pi r)`

`=(1)/(6) (8\pi )`

`=(4)/(3)\pi`

Hence, the length of the minor arc BSA is
`(4)/(3) \pi`.