Question

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

Answer 1

7.855 inches

Explanation:

The formula to find the length of an arc is :

Arc Length =
`(\theta)/(360)` × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

Let us solve it now.

Arc length =
`(\theta)/(360)` × 2 π r

Arc length =
`(30)/(360)*2*\pi*15`

Arc length =
`(30*2*\pi*15)/(360)`

Arc length =
`(2827.8)/(360)`

Arc length = 7.855 inches

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