Respuesta :

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:

[tex]AL=\frac{\theta}{360}*2\pi r[/tex]

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

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

AL = [tex]\frac{1}{12}*25.132[/tex] and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = [tex]\frac{2}{3}\pi[/tex] inches

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