Arc Measures and Properties

This video tutorial covers lesson three of the circles unit, focusing on central angles and arc measures. It begins with a review of problems one and two, then moves on to solve various problems involving arcs, diameters, and central angles. The tutorial includes detailed calculations and explanations for determining major and minor arcs, using subtraction from 360 degrees, and understanding the properties of diameters. The lesson concludes with a summary and practice problems for further learning.

What is the measure of arc AB if the central angle is 96°?

• 84°

• 96°

• 180°

• 264°

If AE is a minor arc and AEB is a diameter, what is the measure of arc AE?

• 84°

• 96°

• 180°

• 264°

In the second diagram, if AC is a diameter and the arc angle is 80°, what is the measure of arc AB?

• 140°

• 100°

• 180°

• 80°

What is the measure of arc DC if AC is a diameter and the arc angle is 140°?

• 40°

• 140°

• 100°

• 180°

How do you calculate the measure of a major arc like DAB?

• Divide the arcs

• Multiply the arcs

• Subtract from 360°

• Add the measures of the arcs

In the third diagram, if the central angle is 125°, what is the measure of arc LM?

• 180°

• 125°

• 305°

• 55°

What is the measure of arc KL if KL is a diameter and the central angle is 125°?

• 125°

• 55°

• 180°

• 305°

In the final diagram, if KM is a diameter and the arc angle is 85°, what is the measure of arc KN?

• 95°

• 85°

• 115°

• 180°

How do you find the measure of arc LMN if LM and MN are known?

• Add the measures of LM and MN

• Divide LM by MN

• Subtract LM from MN

• Multiply LM and MN

What distinguishes a major arc from a minor arc?

• Minor arc is more than 180°

• Major arc is more than 180°

• Minor arc is equal to 180°

• Major arc is less than 180°