Inscribed Angles and Arcs

The video tutorial covers angles related to circles, including central, inscribed, and outside angles. It explains how to calculate these angles using various formulas and provides example problems to illustrate the concepts. The tutorial also explores inscribed quadrilaterals and their properties, offering multiple problem-solving approaches.

What is the relationship between a central angle and its intercepted arc?

• The central angle is half the intercepted arc.

• The central angle is equal to the intercepted arc.

• The central angle is double the intercepted arc.

• The central angle is unrelated to the intercepted arc.

If an inscribed angle intercepts an arc of 100°, what is the measure of the inscribed angle?

• 100°

• 50°

• 200°

• 25°

How do you calculate an in angle when given two arcs?

• Add the arcs and divide by two.

• Multiply the arcs and divide by two.

• Divide the arcs and multiply by two.

• Subtract the arcs and divide by two.

What is the formula for calculating an out angle using two arcs?

• Add the arcs and divide by two.

• Subtract the arcs and divide by two.

• Multiply the arcs and divide by two.

• Divide the arcs and multiply by two.

Which of the following is true about an on angle?

• It is unrelated to the intercepted arc.

• It is equal to the intercepted arc.

• It is double the intercepted arc.

• It is half the intercepted arc.

In the example problem, what is the value of the unknown arc if the out angle is 32° and the larger arc is 125°?

• 61°

• 32°

• 93°

• 125°

In the example problem, what is the measure of the unknown arc if the in angle is 54° and one arc is 65°?

• 108°

• 54°

• 43°

• 65°

In the example problem, what is the measure of the on angle if the intercepted arc is 160°?

• 80°

• 40°

• 160°

• 120°

In the example problem, what is the measure of the out angle if the arcs are 160° and 85°?

• 60°

• 75°

• 37.5°

• 45°

In the example problem, what is the measure of angle Q if the intercepted arc is 128°?

• 64°

• 128°

• 32°

• 96°