Arcs & Chords

What is a chord in a circle?

• A line segment with both endpoints on the circle.

• A line that touches the circle at one point.

• A line segment that passes through the center of the circle.

• A line that is outside the circle.

What is the definition of a major arc?

• An arc that measures exactly 180 degrees.

• An arc that measures less than 180 degrees.

• An arc that measures more than 180 degrees.

• An arc that measures 360 degrees.

If the radius of a circle is 5, what is the length of a chord that is 4 units away from the center?

• 4

• 5

• 6

• 7

What is the relationship between the central angle and the arc it subtends?

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

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

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

• The measure of the arc is unrelated to the central angle.

What is the difference between a major arc and a minor arc?

• A major arc measures less than 180 degrees, while a minor arc measures more than 180 degrees.

• A major arc measures exactly 180 degrees, while a minor arc measures less than 180 degrees.

• A major arc measures more than 180 degrees, while a minor arc measures less than 180 degrees.

• A major arc and a minor arc both measure exactly 180 degrees.

What is the definition of a minor arc?

• An arc that measures exactly 180 degrees.

• An arc that measures less than 180 degrees.

• An arc that measures more than 360 degrees.

• An arc that measures between 180 and 360 degrees.

If chord AB = 9, what is the length of chord CD if they are equal?

• CD = 7

• CD = 8

• CD = 9

• CD = 10

What is the relationship between the diameter and a chord?

• A diameter is the longest chord in a circle.

• A diameter is a type of chord that is always shorter than other chords.

• A diameter is a chord that does not pass through the center of the circle.

• A diameter is a chord that can only exist in a semicircle.

What is the formula for the circumference of a circle?

• Circumference = π * d

• Circumference = 2 * π * r

• Circumference = r * π^2

• Circumference = 2 * r * π

If the length of chord AB is 9, what is the maximum possible length of any chord in the same circle?

• 7

• 9

• 12

• 18