Posted by Dylan on Friday, May 6, 2011 at 11:45am.
The radius of a circle is 6cm and the arc measurement is 120 degrees, what is the length of the chord connecting the radii of the arc?

geometry  Anonymous, Friday, May 6, 2011 at 12:47pm
The ratio of a circle's circumference to its radius is 2ð
C=2rð
120°/360°=1/3
The length of the chord connecting the radii of the arc:
L=2rð/3
L=2*6*3.14159/3=37.69908/3= 12.56636 cm

geometry  Anonymous, Friday, May 6, 2011 at 12:47pm
ð=pi number

geometry  Reiny, Friday, May 6, 2011 at 3:37pm
The answer given by "anonymous" cannot be correct.
How can the chord be longer than the diameter, which would be only 12 cm ?
Draw an altitude from the centre to the chord creating two rightangled triangles with angles 30, 60 and 90°
If x is half of the chord
cos 30° = x/6
x = 6cos30 = 6√3/2 = 5.196
so the chord is 2(5.196) = 10.392
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