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Questions and Answers
What defines a chord in a circle?
What defines a chord in a circle?
- A part of the circumference limited by two points.
- A line segment that connects the center to any point on the circumference.
- A line segment that passes through the center with endpoints on the circumference.
- A line segment joining any two points on the circumference. (correct)
Which of the following correctly describes a segment of a circle?
Which of the following correctly describes a segment of a circle?
- It is the area within the circle bounded by a chord and an arc. (correct)
- It consists of two endpoints on the circumference with a straight line connecting them.
- It is formed by two radii and the intercepted arc.
- It refers to half of the circle.
What is the relationship between a radius and a diameter?
What is the relationship between a radius and a diameter?
- The radius is twice the length of the diameter.
- The radius connects the center to the circumference, while the diameter connects two points on the circumference through the center. (correct)
- The radius can be considered as half of the diameter. (correct)
- The diameter is equal to the radius.
What is the definition of a diameter in a circle?
What is the definition of a diameter in a circle?
What does a central angle in a circle have its vertex?
What does a central angle in a circle have its vertex?
How is the semi-circumference of a circle calculated?
How is the semi-circumference of a circle calculated?
Which of the following best defines a sector of a circle?
Which of the following best defines a sector of a circle?
Identify the correct characteristic of a minor arc.
Identify the correct characteristic of a minor arc.
What distinguishes an inscribed angle from a central angle?
What distinguishes an inscribed angle from a central angle?
Which term describes the total distance around a circle?
Which term describes the total distance around a circle?
What is the measurement of an obtuse angle?
What is the measurement of an obtuse angle?
Which of the following angles represents a straight angle?
Which of the following angles represents a straight angle?
What do complementary angles sum to?
What do complementary angles sum to?
Which angle type is greater than a straight angle?
Which angle type is greater than a straight angle?
Which of the following is an example of a whole angle?
Which of the following is an example of a whole angle?
What is the measure of an acute angle?
What is the measure of an acute angle?
Which statement accurately describes a right angle?
Which statement accurately describes a right angle?
Which of the following correctly defines an angle?
Which of the following correctly defines an angle?
What is the basic unit for measuring angles?
What is the basic unit for measuring angles?
If an angle measures 55°, what type of angle is it classified as?
If an angle measures 55°, what type of angle is it classified as?
What is the complement of an angle measuring 38°?
What is the complement of an angle measuring 38°?
What is the complement of an angle measuring 38°?
What is the complement of an angle measuring 38°?
If two angles are supplementary, what is the total measure of the angles combined?
If two angles are supplementary, what is the total measure of the angles combined?
Find the supplement of an angle measuring 67°.
Find the supplement of an angle measuring 67°.
If two angles are supplementary and one measures 50°, what is the measure of the other angle?
If two angles are supplementary and one measures 50°, what is the measure of the other angle?
What is the complement of an angle whose measure is 67°?
What is the complement of an angle whose measure is 67°?
What is the supplement of an angle measuring 123°?
What is the supplement of an angle measuring 123°?
Which of the following angles is NOT supplementary to 67°?
Which of the following angles is NOT supplementary to 67°?
Which of the following pairs of angles are supplementary?
Which of the following pairs of angles are supplementary?
If the measure of an angle is 67°, what is its complement?
If the measure of an angle is 67°, what is its complement?
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Study Notes
Circle Parts
- Center: The fixed point within the circle from which all points of the closed curve are equidistant.
- Circumference: The distance around a circle.
- Semi-circumference: Half of the circumference.
- Arc: A part of the circumference limited by two points.
- Radius: A line segment joining the center to any point on the circumference.
- Diameter: A line segment that passes through the center and has endpoints on the circumference.
- Chord: A line segment joining any two points on the circumference.
- Surface: A part of a plane within the outline of the circle.
- Sector: The part of a plane formed by two radii and its intercepted arc.
- Segment: A part of a plane formed by a chord and an arc.
- Semi-circle: Half of a circle.
- Central angle: An angle with its vertex at the center of a circle and is made up of two radii of the circle.
- Inscribed angle: An angle with its vertex on the circle and is made up of two chords of the circle.
Circle Symbols
- Y: Center
- YN: Radius
- YD, YC: Radii
- CN: Diameter
- CA: Chord
- CN + NC: Circumference
- YD + YN + DN: Sector
- CA + CA: Segment
- CN + CN: Semi-circle
- ∠CYD and ∠DYN: Central Angle
- CN: Semi-circumference
- ∠NCA: Inscribed Angle
Arcs
- Minor Arc: An arc of a circle whose degree measure is less than 180°.
- Major Arc: An arc of a circle whose degree measure is greater than 180°.
Angle Types & Definitions
- Acute Angle: An angle which is less than a right angle. Measures between 0° and 90°.
- Right Angle: An angle which measures exactly 90°.
- Obtuse Angle: An angle that is greater than a right angle (90°) but less than a straight angle (180°).
- Straight Angle: An angle that measures exactly 180°.
- Reflex Angle: An angle that is greater than a straight angle (180°) but less than a whole angle (360°).
- Whole Angle: An angle that measures exactly 360°.
Complementary & Supplementary Angles
- Complementary Angles: Two angles whose sum of measures is 90°.
- Supplementary Angles: Two angles whose sum of measures is 180°.
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