Arc Measures and Relationships

This video tutorial explains the relationship between central angles and arc measures, including how to calculate minor and major arcs. It also covers the method to find arc length using the radius and central angle, providing a comprehensive understanding of these geometric concepts.

What is the relationship between a central angle and the arc it intercepts?

• They are unrelated.

• The arc measure is twice the central angle.

• The central angle is twice the arc measure.

• They are equal in measure.

What is the measure of a minor arc if the central angle is 120°?

• 180°

• 240°

• 60°

• 120°

How do you calculate the measure of a major arc?

• Multiply the minor arc by 2.

• Divide the minor arc by 2.

• Subtract the minor arc from 360°.

• Add 180° to the minor arc.

If a circle is divided by a diameter, what is the measure of each semicircle?

• 90°

• 120°

• 180°

• 360°

What is the measure of arc DF if it is a diameter?

• 90°

• 120°

• 360°

• 180°

How do you find the measure of arc EF if arc DE is 40° and DF is a diameter?

• Divide 40° by 2.

• Multiply 40° by 2.

• Add 40° to 180°.

• Subtract 40° from 180°.

What is the arc measure if the central angle is 40°?

• 40°

• 160°

• 80°

• 120°

How do you determine the remaining arc measure in a semicircle?

• Multiply the known arc measure by 2.

• Divide the known arc measure by 2.

• Subtract the known arc measure from 180°.

• Add the known arc measure to 180°.

What is the measure of a semicircle in degrees?

• 180°

• 90°

• 120°

• 360°

What is required to calculate the length of an arc?

• Neither the central angle nor the radius.

• Only the central angle.

• Both the central angle and the radius.

• Only the radius.