Non-Central Circles

A chord is a segment that connects ___________

• the center to the endpoint

• to one point outside the circle

• a central angle

• 2 endpoints of a circle

A line that passes through a circle

• Secant

• Tangent

• Chord

• Radius

The region between the a chord and either of the arcs is called____

• An arc

• A sector

• A segment

• A semi

What is the arc addition theorem in circles?

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the sum of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the difference of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two overlapping arcs is equal to the difference of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the product of the measures of the two arcs.

If two arcs in a circle have measures of 60 degrees and 120 degrees, what is the measure of their sum?

• 180 degrees

• 240 degrees

• 300 degrees

• 90 degrees

In a circle, if the measure of arc AB is 70 degrees and the measure of arc BC is 110 degrees, what is the measure of arc AC?

• 100 degrees

• 240 degrees

• 50 degrees

• 180 degrees

If the measure of arc PQ is 40 degrees and the measure of arc QR is 80 degrees, what is the measure of arc PR?

• 120 degrees

• 200 degrees

• 90 degrees

• 60 degrees

In a circle, if the measure of arc DE is 90 degrees and the measure of arc EF is 45 degrees, what is the measure of arc DF?

• 180 degrees

• 45 degrees

• 135 degrees

• 60 degrees

If the measure of arc XY is 120 degrees and the measure of arc YZ is 60 degrees, what is the measure of arc XZ?

• 180 degrees

• 300 degrees

• 90 degrees

• 240 degrees

If the measure of the entire circle is 360 degrees, what is the measure of a semicircle?

• 90 degrees

• 270 degrees

• 45 degrees

• 180 degrees