What is the arc length of a segment of a circle with a central angle of 165º and a radius of 3 inches?

The exact value for the length of the arc is: inches, which is approximately 8.64 inches

Step-by-step explanation:

We can solve this with proportions, knowing that the full circumference of the circle, which corresponds to an arc length of , is associated with . Then we solve for the unknown arc length "x" for a subtended angle of in the proportion:

Which is approximately 8.64 inches

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet