Podcast
Questions and Answers
What is the relationship between a diameter and a chord in a circle?
What is the relationship between a diameter and a chord in a circle?
- Every chord is twice the length of the diameter.
- A diameter is shorter than every chord.
- Chords only connect points on the circumference.
- Every diameter is a chord, but not every chord is a diameter. (correct)
If a circle has a radius of 3 cm, what is the length of its diameter?
If a circle has a radius of 3 cm, what is the length of its diameter?
- 6 cm (correct)
- 12 cm
- 3 cm
- 9 cm
Which statement is true regarding arcs in a circle?
Which statement is true regarding arcs in a circle?
- The minor arc is always longer than the major arc.
- Every chord divides the circle into a minor and a major arc. (correct)
- Arcs are the same length for minor and major segments.
- Only chords can be drawn between points on the circumference.
How many radii can be drawn from a point inside the circle to the circumference?
How many radii can be drawn from a point inside the circle to the circumference?
What does the term 'circumference' refer to in relation to a circle?
What does the term 'circumference' refer to in relation to a circle?
Flashcards
Chord
Chord
A line segment that joins two points on a circle.
Diameter
Diameter
A line segment that passes through the center of a circle and has both endpoints on the circle.
Radius
Radius
The distance from the center of a circle to any point on the circle.
Arc
Arc
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Sector
Sector
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Study Notes
Circle Definitions and Properties
- Radius: A line segment joining the center of a circle to any point on the circle's circumference.
- Diameter: A line segment passing through the center of a circle and connecting two points on the circle's circumference. It's twice the length of the radius.
- Chord: A line segment connecting any two points on a circle's circumference.
- Arc: A portion of the circle's circumference.
- Sector: A region bounded by two radii and an arc.
Circle Diagram Elements
- Draw a circle with a labeled center O and a 3cm radius. Mark and label:
- A point P inside the circle
- A point Q on the circle
- A point R outside the circle
Circle Properties (True/False)
- Every diameter of a circle is also a chord: True
- Every chord of a circle is also a diameter: False
- The center of a circle lies on all its chords: False
Circle Diagrams (Chord and Arc)
- Draw a circle with center O and a 4cm radius. Draw a chord AB. Mark the minor and major arcs formed by chord AB.
Circle Fill in the Blanks
- A diameter of a circle is a chord that passes through the center.
- A radius of a circle is a line segment with one endpoint at the center and the other endpoint on the circle.
Circle Diagrams (Sector)
- Draw a circle with center O and a 2.5 cm radius. Draw a sector with a 60° central angle.
Circle Comparisons
- Radius of a circle is less than Diameter of the circle
- Length of minor arc is less than Length of major arc
Chord vs. Arc
- A chord is a line segment connecting two points on the circle's circumference. An arc is a portion of the circle's circumference.
Radii from a Point
- If a point P is inside a circle, you can draw infinitely many radii from point P to the circle (or to the circumference).
Circumference
- The circumference of a circle is the distance around the circle.
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