Question

Using arc length formula find s when r=24 and θ=π/2

48π
24π
12π

Answer 1

Explanation:

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Answer 2

12π

Explanation:

The formula for arc length is given as:

`s = (\theta)/(360\degree) * 2\pi r`

Plug r = 24 and θ=π/2 in the above formula, we fi d:

`s = ((\pi)/(2))/(360\degree) * 2\pi * 24\\\\</p><p>s = ((\pi)/(2))/(2 \pi) * 48\pi\\\\</p><p></p><p>s = (\pi)/(2* 2 \pi) * 48\pi \\\\</p><p></p><p>s = (\pi)/(4\pi) * 48\pi \\\\</p><p>\huge \purple {\boxed{s = 12\pi}} \\</p><p></p><p>`