Understanding Circles: Angles and Arcs

What is the defining characteristic of a central angle in a circle?

• It is always 90 degrees.

• Its vertex is at the center of the circle.

• It is formed by two radii.

• It is always less than 180 degrees.

How is a minor arc defined in terms of degrees?

• It is exactly 360 degrees.

• It is more than 180 degrees.

• It is less than 180 degrees.

• It is exactly 180 degrees.

Which of the following is true about naming a major arc?

• It can be named with two letters.

• It must be named with four letters.

• It can be named with three letters.

• It can be named with any number of letters.

What is a semicircle in terms of its endpoints?

• It is formed by the center and a point on the circle.

• It is formed by three points on a circle.

• It is formed by the endpoints of a diameter.

• It is formed by any two points on a circle.

How many letters are used to name a semicircle?

• Four or five letters

• Three or four letters

• Two or three letters

• One or two letters

How is the measure of a minor arc related to its central angle?

• It is half of the central angle.

• It is unrelated to the central angle.

• It is always double the central angle.

• It is equal to the central angle.

If a central angle measures 50 degrees, what is the measure of the corresponding minor arc?

• 360 degrees

• 180 degrees

• 100 degrees

• 50 degrees

What is the measure of a major arc if the minor arc is 50 degrees?

• 360 degrees

• 310 degrees

• 50 degrees

• 180 degrees

What is the total degree measure of a circle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

Which of the following is true about the relationship between a central angle and its arc?

• The arc is always smaller than the angle.

• The arc measure is unrelated to the angle measure.

• The arc is always larger than the angle.

• The arc measure is equal to the angle measure.