Mathematics, 05.02.2020 06:44 hernandez48tur
what is the measure in degrees for the central angle of a circle whose radius is 6.5 cm and intercepted arc length is 5.7 cm? round to the nearest hundredth if necessary
61.89
50.27
31.45
55.81
Answers: 3
![\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }](/tpl/images/0502/9872/7cafb.png)
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