Question

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

Answer 1

Answer:

Step-by-step 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:

$AL=\frac{\theta}{360}*2\pi r$

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

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

AL = $\frac{1}{12}*25.132$ and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = $\frac{2}{3}\pi$ inches