Question

Find the arc length with the given information.
central angle = n/4, radius=3

Answer 1

Option 2.
`3(\pi )/(4)`

Explanation:

As we know for a given arc with a central angle formula to get it's length is

s = r×∅ where s is the length of arc

r = radius of the circle

∅ = central angle

In the given question Central angle =
`(\pi )/(4)` and

radius r = 3

So by applying the formula in the question we get

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

Therefore the length of the given arc is
`3(\pi )/(4)`.

Answer 2

`(3\pi )/(4)`

Explanation:

Arc length is the product of central angle(in radians) and radius.

i.e.

arc length=radius *central angle(in radians)

`s=r*theta\\s=3*(\pi )/(4)\\ s=(3\pi )/(4)`