The circle has center O


, and the measure of angle POQ

is 45 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

Since the measure of angle POQ is 45 degrees, we know that the length of minor arc AC is also 45 degrees.

To find the fraction of the circumference of the circle that arc AC represents, we need to compare the length of arc AC to the entire circumference of the circle.

The entire circumference of the circle is 360 degrees.

So, the fraction of the circumference that arc AC represents is 45/360 = 1/8.

Therefore, the length of minor arc AC is 1/8 of the circumference of the circle.