Given a circle with a radius of 6 and a central angle measure of 60 degrees, what is the arc length? Giving brainliest answer!

The full circle has a circumference of C = 2*pi*r = 2*pi*6 = 37.6991118 (which is approximate)

We only want the piece of the circle that corresponds to a central angle of 60 degrees. So multiply that result by 60/360 = 1/6 to get ...

37.6991118 * (1/6) = 6.2831853

The arc length is approximately 6.2831853

Fraction out of the whole circle times circumference=arc length

360 degrees=1 circle so

the fraction it is is 60 oout of 360 or 60/360=1/6 of the circumference

c=2pir

c=2pi6

c=12pi

so

the arc length is 1/6 of 12pi or 12pi/6 or 2pi units is the arc length