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.