Find the arc legnth of Arc AB. Leave your answer in terms of pi.

arc is 45 degrees radius is 5

45/360 = .125

or 1/8 of the circumference

circumference = 2 pi r = 2 pi (5) = 10 pi

so 10 pi/8 = (5/4) pi = 1.25 pi

the answers I have to pick from are

6 pie 8 units
3 pi 4 units
9 pi 4 units
9 pi 8 units

so is 9 pi 8 units the answer

Well I get 10 pi/8 which is 5 pi/4

To find the arc length of Arc AB, we need to use the formula:

Arc Length = (θ/360) × 2πr

Where θ is the central angle in degrees, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.

In this case, the central angle θ is 45 degrees and the radius r is 5.

Plugging these values into the formula:

Arc Length = (45/360) × 2π × 5
= (1/8) × 2π × 5
= π/4 × 10
= 5π/2

Therefore, the arc length of Arc AB is 5π/2.