Respuesta :

apocritia

Answer:

[tex]\frac{3\pi }{4}[/tex]

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)

[tex]s=r*theta\\s=3*\frac{\pi }{4}\\ s=\frac{3\pi }{4}[/tex]

Answer:

Option 2. [tex]3\frac{\pi }{4}[/tex]

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 = [tex]\frac{\pi }{4}[/tex] and

radius r = 3

So by applying the formula in the question we get

[tex]s = 3\frac{\pi }{4}[/tex]

Therefore the length of the given arc is [tex]3\frac{\pi }{4}[/tex].


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