A central angle of a circle that measure pi/3 radians intercepts an arc that is 12 cm. What is the radius of the circle?

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#pi/3#

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Answer 1 · 2018-05-17T03:06:25

#r = 36/pi" cm"#

Given #s=12" cm"# where #s# is the arclength and #theta = pi/3# where #theta# is the central angle.

The following equation describes their relationship to the radius:

#s = r theta#

Solve for #r#:

#r = s/theta#

Substitute the values:

#r = (12" cm")/(pi/3)#

#r = 36/pi" cm"#