Exploring Central and Inscribed Angles

What remains constant when moving point C around the circle?

• The radius of the circle

• The measure of the arc and central angle

• The circumference of the circle

• The diameter of the circle

What is the measure of an arc equal to?

• There is no relationship

• The same as the measure of the central angle

• Half the measure of the central angle

• Twice the measure of the central angle

What is the relationship between the measure of an inscribed angle and the arc it cuts?

• There is no relationship

• The inscribed angle is half the measure of the arc

• The inscribed angle is the same as the measure of the arc

• The inscribed angle is double the measure of the arc

What happens to the inscribed angle when it cuts the same arc?

• Its measure remains constant

• Its measure becomes zero

• Its measure changes

• Its measure doubles

What is the measure of the angle formed when C is the diameter?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees