How do you find the length of an arc of a circle with a radius of 12cm if the arc subtends a central angle of 30 degrees?

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Answer 1 · 2015-08-01T15:49:43

#color(blue)(l=6.28cm#

The formula for the length of an arc of a circle is:
#l=color(blue)(theta/360^o(2pir)#

Where:
#color(blue)(theta# is the angle subtended at the centre.
#color(blue)(2pir# is the circumference of the circle.

the circumference #2pir=(2 )* (3.14)*(12) = 75.36cm#

So, length of arc
#l=theta/(360^o) * (2pir)#

#l=30/(360^o) * (75.36)#

#l= (75.36)/12#

#color(blue)(l=6.28cm#