Question

Find the arc length on a circle with radius =4 inches and central angle of 30°

Answer 1

Explanation:

I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

`AL=(\theta)/(360)*2\pi r`

Our angle is 30 and our radius is 4, so we fill in accordingly:

`AL=(30)/(360)*2(3.1415)(4)` (this is if you multiply in pi. We'll find the answer in terms of pi as well).

AL =
`(1)/(12)*25.132` and

AL = 2.09433 inches

In terms of pi, the answer would be

AL =
`(2)/(3)\pi` inches