Question

A circle has a radius of 63 what is the arc length intercepted by a central angle that measures 2pi/9 radians

Answer 1

There are two formulas that you need to know:
1. Circumference (length of the circle):
`C = 2 \pi r`
2. Length of the arc:
`l = ra`,
where r is the radius and a is the angle.
Basically, you need only second formula there to find the answer. Let's use 63 as r,
`2 \pi /9` as a:

`l = (63 * 2 \pi )/(9) = 7 * 2 \pi = 14 \pi = 44`
So, the answer will be 44 or
`<strong>14 \pi</strong>`

Answer 2

arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI
This would be the answer i think
Hope this helped ☺