For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of
7/3
π meters?

A) 35°
B) 50°
C) 70°
D) 120°

Respuesta :

[tex]\bf s=\cfrac{\pi \theta r}{180}\implies \cfrac{180s}{r\pi }=\theta\quad \begin{cases} r=radius\\ s=\textit{lenght of arc}\\ \theta=\textit{central angle}\\
\quad\ in\ degrees\\ --------\\ r=6\\\\ s=\frac{7\pi }{3} \end{cases}\implies \cfrac{180\cdot \frac{7\pi }{3}}{6\pi }=\theta[/tex]
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