DonavynB219389 DonavynB219389
  • 26-10-2022
  • Mathematics
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A circle with a radius of 10 inches has a central angle of 45 degrees. What is the length of the arc?

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JalexiB335635 JalexiB335635
  • 26-10-2022
[tex]\frac{5\pi}{2}\quad in[/tex]

1) We can find the length of the arc by setting the formula:

[tex]\begin{gathered} Arc\:length:\frac{45}{360}\times2\pi(10) \\ \\ \frac{20\pi }{8} \\ \\ \frac{5\pi}{2}\:inches\quad \end{gathered}[/tex]

Note that the length of that arc is a portion of the whole circumference.

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