What is the sum of all central angles for a circle

The video tutorial explains central angles, starting with their definition and naming. It discusses different types of central angles, including obtuse angles, and emphasizes that the vertex is at the center. The tutorial highlights the properties of central angles, stating that the sum of all central angles in a circle is 360 degrees.

What is a central angle?

• An angle with its vertex on the circumference of a circle

• An angle that measures exactly 90 degrees

• An angle with its vertex at the center of a circle

• An angle that measures exactly 180 degrees

Which of the following is true about an obtuse central angle?

• It has a vertex at the center of the circle

• It is always equal to 180 degrees

• It cannot be a central angle

• It measures less than 90 degrees

Which statement is correct about the sides of a central angle?

• They are always parallel

• They are tangents to the circle

• They are chords of the circle

• They are radii of the circle

What is the sum of all central angles in a circle?

• 360 degrees

• 540 degrees

• 270 degrees

• 180 degrees

If angle one is 120 degrees and angle two is 150 degrees, what is the measure of angle three?

• 90 degrees

• 100 degrees

• 150 degrees

• 120 degrees