Respuesta :

Answer:

4pi

Step-by-step explanation:

The circumference of a circle of radius 8 is

C = 2*pi*r

C = 2 * pi * 8

C = 16pi

We know that this is 1/4 of a circle, so we can take 1/4 of the circumference

1/4 C = 16pi/4 = 4pi

Answer:

Step-by-step explanation:

To find arc length we use the formula s = r(theta)

Theta is the given angle in radians (in this case it’s 90°, which in radians is pi/2), r is the radius (8), and s is the arc length

Here’s what you should get:

s = 8(pi/2)

s = (8pi)/2

simplify:

s = 4pi

the arc length is 4[tex]\pi[/tex]