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03-11-2022
Mathematics

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find the exact length of a Arc of a circle if the radius is 3 in and the angle is π/4 radians.

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ItalieC612208 ItalieC612208

03-11-2022

The arc length is given as:

[tex]s=r\theta[/tex]

where r is the radius and theta is the angle (in radians). Then we have:

[tex]s=3\cdot\frac{\pi}{4}=\frac{3}{4}\pi[/tex]

therefore the exact arc length is:

[tex]s=\frac{3}{4}\pi[/tex]

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