What is the arc length of ab?

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Ptyshevs asked Oct 13, 2023

424,776 views

7 votes

What is the arc length of ab?

Mathematics
high-school

Ptyshevs asked Oct 13, 2023

by Ptyshevs

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2 Answers

12 votes

$\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}$