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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asked Jul 22, 2023 135k views

1 Answer

JDupont · Answer 1 · 2023-07-26T05:10:13+0000

$(5\pi)/(2)\quad in$

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

$\begin{gathered} Arc\:length:(45)/(360)*2\pi(10) \\ \\ (20\pi )/(8) \\ \\ (5\pi)/(2)\:inches\quad \end{gathered}$

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