How would you find the length of the arc on a circle with a radius of 15 cm intercepted by a central angle of 60°?

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Answer 1 · 2015-12-31T23:07:02

#5pi# cm

First, we'll need to convert degrees into radians. For that, we need to simply multiply the value with #pi/180^o#

So #60^o#, in radians,

#=60^o * pi/180^o#

#=pi/3# radians.

Now, the formula for the length of an arc is,

#l=rtheta#

where,
#l# is the length of the arc
#r# is the radius of the circle
#theta# is the angle subtended by the circle in radians

Substituting given values in our formula,

#l=15*pi/3#

#l=5pi# cm