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

Question

asked Sep 17, 2023 40.1k views

1 Answer

Tplusk · Answer 1 · 2023-09-24T07:10:33+0000

Answer:

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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