Campsite #1, lookout tower, and campsite #2, form a central angle within the circle. If the angle formed is 120°, describe the relationship between the angle and the arc it intercepts. You must show all work to receive credit.

So, I believe what it is asking is what is the relationship between an angle and the arc it intercepts.

Please help!!!

Question

Campsite #1, lookout tower, and campsite #2, form a central angle within the circle. If the angle formed is 120°, describe the relationship between the angle and the arc it intercepts. You must show all work to receive credit.

So, I believe what it is asking is what is the relationship between an angle and the arc it intercepts.

Please help!!!

imstuck · Answer

The measure of a central angle of a circle is equal to the arc it intercepts.  If you named the center of the circle O, for example, and the two towers A and B, the measure of angle O is equal to the measure of arc AB.  The arc is 120.  As long as the angle is central and not inscribed.

anonymous · Answer

@IMStuck Okay, so the measure of the central angle (120 degrees) is equivalent to the arc it intercepts?

anonymous · Answer

The measure of a central angle is equivalent to the arc it intercepts. Therefore, the central angle and the arc it intercepts are similar because they have the same measure (120 degrees)

That's what I put for anyone wondering about this :)