Inscribed and Central Angles

The video tutorial introduces inscribed angles, explaining their properties and differences from central angles. It provides examples of solving inscribed angle problems, starting with a basic example and progressing to a more complex one involving variables. The tutorial demonstrates how to solve equations with variables on both sides, emphasizing the importance of setting the inscribed angle equal to half of the intercepted arc. The video concludes with a summary and an invitation to subscribe for more tutorials.

What is the main difference between a central angle and an inscribed angle?

• An inscribed angle is always equal to the central angle.

• A central angle is half of the inscribed angle.

• A central angle is formed at the center of the circle, while an inscribed angle is formed on the circle.

• A central angle is always larger than an inscribed angle.

If an intercepted arc measures 80 degrees, what is the measure of the inscribed angle?

• 40 degrees

• 80 degrees

• 60 degrees

• 160 degrees

In the simple example, what was the measure of the intercepted arc?

• 150 degrees

• 138 degrees

• 70 degrees

• 69 degrees

How do you calculate the inscribed angle from the intercepted arc?

• Divide the intercepted arc by 2

• Subtract 10 from the intercepted arc

• Add 10 to the intercepted arc

• Multiply the intercepted arc by 2

In the complex example, what expression represents the inscribed angle?

• 10x + 4

• 14x - 6

• 12x - 10

• 20x + 8

What is the first step in solving for x in the complex example?

• Divide both sides by 2

• Add 10 to both sides

• Subtract 10x from both sides

• Multiply both sides by 2

What is the final value of x in the complex example?

• 7

• 6

• 5

• 8

Why is it important to divide each term of a binomial by 2 in the complex example?

• To ensure the equation is balanced

• To find the central angle

• To find the radius of the circle

• To simplify the equation

What is the purpose of dividing the intercepted arc by 2 in these problems?

• To find the central angle

• To find the diameter of the circle

• To find the radius of the circle

• To find the inscribed angle

What should you always remember when solving inscribed angle problems?

• The inscribed angle is twice the intercepted arc

• The inscribed angle is unrelated to the intercepted arc

• The inscribed angle is half the intercepted arc

• The inscribed angle is equal to the intercepted arc