Exploring Circle Properties

What is the radius of a circle?

• Half the circumference

• Twice the length of the diameter

• The length from the center to any point on the circle

• The distance around the circle

How is the diameter of a circle defined?

• Twice the radius

• The length around the circle

• Half the radius

• The longest chord in the circle

What is the circumference of a circle?

• Pi times the radius squared

• Two times pi times the radius

• The diameter squared

• Pi divided by the diameter

What defines a major arc in a circle?

• An arc exactly 180 degrees

• An arc that is a quarter of the circle

• An arc less than 180 degrees

• An arc more than 180 degrees

How many degrees of arc measure exist in a circle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

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

• There is no relationship

• The arc's measure is equal to the angle's measure

• The arc's measure is half the angle's measure

• The arc's measure is twice the angle's measure

What is a chord in a circle?

• A segment that passes through the center

• A line that touches the circle at one point

• A segment with both endpoints on the circle

• The longest distance across the circle

What is a secant?

• A line that intersects the circle at one point

• A type of angle in the circle

• A segment within the circle

• A line that intersects the circle at two points

What is the measure of an arc intercepted by an inscribed angle?

• Half the measure of the inscribed angle

• Twice the measure of the inscribed angle

• Four times the measure of the inscribed angle

• Equal to the measure of the inscribed angle

What is the difference between a central angle and an inscribed angle's effect on arc measure?

• There is no difference in their effects on arc measure.

• A central angle's measure is equal to its intercepted arc's measure, while an inscribed angle's measure is half of its intercepted arc's measure.

• A central angle's measure is twice its intercepted arc's measure, while an inscribed angle's measure is equal to its intercepted arc's measure.

• A central angle's measure is equal to its intercepted arc's measure, while an inscribed angle's measure is twice its intercepted arc's measure.