To find the fraction of the circumference that is the minor arc AC, we first need to calculate the length of the minor arc.
Since the measure of angle AOC is 120 degrees, then the measure of the minor arc AC is also 120 degrees.
To find the circumference of the circle, we use the formula C = 2πr, where r is the radius of the circle.
Since the angle AOC is 120 degrees out of a total of 360 degrees in a circle, the fraction of the circumference that is the minor arc AC is 120/360 = 1/3.
Therefore, the length of the minor arc AC is 1/3 of the circumference of the circle.
The circle has center O
, and the measure of angle AOC
is 120 degrees
. The length of minor arc AC
is what fraction of the circumference of the circle?
(The number of degrees of arc in a circle is 360
.)
1 answer