# Geometry

A circle has a radius of 3 an arc in this circle has a central angle of 20 degrees what is the length of the arc

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1. circumference of whole circle = 2pi r
= 6pi

so :
arc/6pi = 20/360
arc = 120pi/360
= pi/3 = appr 1.047 units

or

arc = rθ , where θ is the angle in radians
so 20 degrees = 20pi/180 radians
= pi/9

arc = 3(pi/9)
= pi/3 , same as above

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