How does the measure of an inscribed angle relate to a central angle

The video tutorial covers the concepts of central and inscribed angles in a circle. It explains that the measure of an arc is equal to the central angle, while the measure of an inscribed angle is half of the arc it subtends. The tutorial provides examples to illustrate these concepts, showing how to calculate arc measures based on given angles.

What is the relationship between a central angle and its corresponding arc in a circle?

• The arc is half the central angle.

• The arc is unrelated to the central angle.

• The arc is twice the central angle.

• The arc is equal to the central angle.

How is the measure of an inscribed angle related to the central angle?

• It is equal to the central angle.

• It is twice the central angle.

• It is unrelated to the central angle.

• It is half the central angle.

If an inscribed angle measures 30 degrees, what is the measure of the arc it intercepts?

• 15 degrees

• 90 degrees

• 30 degrees

• 60 degrees

In the example given, if a central angle measures 60 degrees, what is the measure of the arc?

• 60 degrees

• 120 degrees

• 30 degrees

• 90 degrees

For an inscribed angle of 15 degrees, what is the measure of the arc it intercepts?

• 30 degrees

• 60 degrees

• 15 degrees

• 45 degrees