Central Angles and Their Properties

The video tutorial from Friendly Math 101 covers the concept of central angles in a circle. It explains that a central angle is formed by two radii and is equal to the measure of the intercepted arc. The tutorial provides two example problems: one involves solving for X using the properties of central angles and vertical angles, and the other involves finding angle M by understanding circle properties and vertical angles. The video concludes with a prompt to subscribe for more math tutorials.

What is a central angle?

• An angle formed outside the circle.

• An angle formed by two radii of a circle.

• An angle that measures 90 degrees.

• An angle that is always less than 180 degrees.

Where is the vertex of a central angle located?

• On the circumference of the circle.

• At the center of the circle.

• Outside the circle.

• On the tangent of the circle.

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

• The central angle is half the measure of the intercepted arc.

• The central angle is twice the measure of the intercepted arc.

• The central angle is unrelated to the intercepted arc.

• The central angle is equal to the measure of the intercepted arc.

How many degrees are there in a full circle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

What is the degree measure of a half-circle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the measure of an angle that forms a straight line?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

What is the measure of a right angle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

What is the measure of a full rotation?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the measure of an angle that forms a complete circle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees