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A circle has a radius of 13cm . Find the radian measure of the central angle θ that intercepts an...
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]