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  • 16-08-2021
  • Mathematics
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Find the length of the arc.
8 m
315°

Find the length of the arc 8 m 315 class=

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Trancescient
Trancescient Trancescient
  • 16-08-2021

[tex]s = 44.0\:\text{m}[/tex]

Step-by-step explanation:

First convert the angle into radian measure:

[tex]315°×\left(\dfrac{\pi}{180°}\right) = 5.50\:\text{rad}[/tex]

The arc length s is given by

[tex]s = r\theta = (8\:\text{m})(5.50\:\text{rad}) = 44.0\:\text{m}[/tex]

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