Question

What is the arc length of an arc with radius 15 inches and central angle 30 degrees

Answer 1

Answer:

7.855 inches

Step-by-step explanation:

The formula to find the length of an arc is :

Arc Length = $\frac{\theta}{360}$ × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

Let us solve it now.

Arc length = $\frac{\theta}{360}$ × 2 π r

Arc length = $\frac{30}{360}*2*\pi*15$

Arc length = $\frac{30*2*\pi*15}{360}$

Arc length = $\frac{2827.8}{360}$

Arc length = 7.855 inches

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