Find the arc length for arcs of circles as follows:
radius: 12 inches
central angle: radians
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Answer:
≈ 11.78 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )
= 15 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{15\pi }{4}[/tex]
≈ 11.78 in ( to 2 dec. places )