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For a circle of radius 3 feet, find the arc length s subtended by a central angle of 57° ?


A. S=19/40 Pie Feet. C.S=19/20 Pie Feet

B. S=19/5 Pie Feet. D.S=19/10 Pie Feet

Respuesta :

steffaniasierrag

Answer:

c) S= [tex]\frac{19}{20}\pi\text{ feet}[/tex]

Step-by-step explanation:

[tex]S=\theta r[/tex], where [tex]\theta[/tex] is the angle in radians and r is the radio of the circle.

But [tex]57^{\circ} = \frac{57\pi}{180}[/tex], then

[tex]S=\frac{19\pi}{60}*3 =\frac{19\pi}{20}[/tex] feet

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