A circle has a radius of 3 feet and a central angle DEF that measures 60°. What is the length of the intercepted arc DF?

1 Answer
Jim G.
Feb 17, 2018

#"arc DF "=pi~~3.14" feet to 2 dec. places"#

Explanation:

#"the length of the arc is calculated using"#

#• " length of arc "="circumference "xx"fraction of circle"#

#color(white)(xxxxxxxxxxxx)=2pirxx60/360#

#color(white)(xxxxxxxxxxxx)=6pixxcancel(60)^1/cancel(360)^6#

#color(white)(xxxxxxxxxxxx)=(cancel(6) pi)/cancel(6)=pi~~3.14#

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