Circle Parts Quiz

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Questions and Answers

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?

  • 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?

  • 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?

<p>A line segment passing through the center connecting two points on the circle. (D)</p> Signup and view all the answers

What does a central angle in a circle have its vertex?

<p>At the center of the circle. (C)</p> Signup and view all the answers

How is the semi-circumference of a circle calculated?

<p>Taking half of the total circumference. (B)</p> Signup and view all the answers

Which of the following best defines a sector of a circle?

<p>The region bounded by two radii and an arc. (C)</p> Signup and view all the answers

Identify the correct characteristic of a minor arc.

<p>An arc whose degree measure is less than 180°. (A)</p> Signup and view all the answers

What distinguishes an inscribed angle from a central angle?

<p>An inscribed angle has its vertex on the circle with its sides as chords. (A)</p> Signup and view all the answers

Which term describes the total distance around a circle?

<p>Circumference (B)</p> Signup and view all the answers

What is the measurement of an obtuse angle?

<p>Greater than 90° but less than 180° (A)</p> Signup and view all the answers

Which of the following angles represents a straight angle?

<p>180° (D)</p> Signup and view all the answers

What do complementary angles sum to?

<p>90° (C)</p> Signup and view all the answers

Which angle type is greater than a straight angle?

<p>Reflex Angle (B)</p> Signup and view all the answers

Which of the following is an example of a whole angle?

<p>360° (A)</p> Signup and view all the answers

What is the measure of an acute angle?

<p>More than 0° but less than 90° (D)</p> Signup and view all the answers

Which statement accurately describes a right angle?

<p>It measures exactly 90° (D)</p> Signup and view all the answers

Which of the following correctly defines an angle?

<p>An angle formed by two rays joined at a common point called the vertex (A)</p> Signup and view all the answers

What is the basic unit for measuring angles?

<p>Degrees (C)</p> Signup and view all the answers

If an angle measures 55°, what type of angle is it classified as?

<p>Acute angle (A)</p> Signup and view all the answers

What is the complement of an angle measuring 38°?

<p>52° (B)</p> Signup and view all the answers

What is the complement of an angle measuring 38°?

<p>52° (B)</p> Signup and view all the answers

If two angles are supplementary, what is the total measure of the angles combined?

<p>180° (B)</p> Signup and view all the answers

Find the supplement of an angle measuring 67°.

<p>113° (B)</p> Signup and view all the answers

If two angles are supplementary and one measures 50°, what is the measure of the other angle?

<p>130° (B)</p> Signup and view all the answers

What is the complement of an angle whose measure is 67°?

<p>23° (D)</p> Signup and view all the answers

What is the supplement of an angle measuring 123°?

<p>57° (C)</p> Signup and view all the answers

Which of the following angles is NOT supplementary to 67°?

<p>90° (A)</p> Signup and view all the answers

Which of the following pairs of angles are supplementary?

<p>All of the above (D)</p> Signup and view all the answers

If the measure of an angle is 67°, what is its complement?

<p>23° (B)</p> Signup and view all the answers

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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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