Question

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

Answer 1

Answer:

$\frac{3\pi }{4}$

Step-by-step explanation:

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

i.e.

arc length=radius *central angle(in radians)

$s=r*theta\\s=3*\frac{\pi }{4}\\ s=\frac{3\pi }{4}$

Answer 2

Answer:

Option 2. $3\frac{\pi }{4}$

Step-by-step 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 = $\frac{\pi }{4}$ and

radius r = 3

So by applying the formula in the question we get

$s = 3\frac{\pi }{4}$

Therefore the length of the given arc is $3\frac{\pi }{4}$.