Question

What is the exact length of arc AB? ​

Answer 1

π m

Explanation:

Arc length = 2πr
`(0)/(360)`

where r = radius and 0 = central angle

The given radius is 4m and the given central angle is 45°

Thus, arc length = 2π4
`(45)/(360)`

* simplify *

( note when simplifying we leave our answer in terms of π as the answer choices do. )

2 * 4 = 8

`8(45)/(360) =1`

arc length = 1π

Hence, arc length = 1π or just π