MATH SOLVE

5 months ago

Q:
# A circle has a radius of 13cm . Find the radian measure of the central angle θ that intercepts an arc of length 16cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Accepted Solution

A:

[tex]\bf \textit{arc's legnth}\\\\
s=r\theta \quad
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=16\\
r=13
\end{cases}\implies 16=13\theta \implies \cfrac{16}{13}=\theta[/tex]