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Questions and Answers
What is the center of a circle?
What is the center of a circle?
- An angle that intersects a circle
- A segment on a circle
- The distance around a circle
- The given point in the center of a circle (correct)
What is a central angle?
What is a central angle?
An angle that intersects a circle in two points and has its vertex at the center of the circle.
What is a chord?
What is a chord?
Segment on a circle where both endpoints are located on the circle.
Define a circle.
Define a circle.
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What is the circumference of a circle?
What is the circumference of a circle?
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What does circumscribed mean?
What does circumscribed mean?
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What is a diameter?
What is a diameter?
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What does inscribed mean?
What does inscribed mean?
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What is pi?
What is pi?
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Define a point of tangency.
Define a point of tangency.
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What is a radius?
What is a radius?
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What are secants?
What are secants?
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What is a semicircle?
What is a semicircle?
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What is a tangent?
What is a tangent?
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Study Notes
Circle Definitions and Key Terms
- Center: The fixed point at the heart of a circle from which all points on the circle are equidistant.
- Central Angle: An angle formed by two radii of the circle that intersects the circle at two points; its vertex is at the center.
- Chord: A straight line segment whose endpoints both lie on the circumference of the circle.
- Circle: A geometric figure consisting of all points equidistant from a given point, referred to as the center.
- Circumference: The total length around the circle, equivalent to the perimeter of a circle.
Properties Relating to Circles and Polygons
- Circumscribed: A configuration where a circle encompasses all the vertices of a polygon.
- Diameter: A special type of chord that passes through the circle's center, effectively cutting the circle into two equal halves.
- Inscribed: Refers to a polygon whose vertices all touch the circumference of a circle.
Important Constants and Measurements
- Pi (π): An irrational number, approximately equal to 3.1416, representing the ratio of a circle's circumference to its diameter, denoted by the Greek letter π.
- Point of Tangency: The point at which a tangent touches the circle; it signifies a single interaction between the line and the circle.
Line Relationships with Circles
- Radius: A line segment from the center of a circle to any point on its circumference, helping define the size of the circle.
- Secants: A straight line that intersects a circle at two distinct points, offering insight into the circle's properties.
- Semicircle: Exactly half of a circle, created when a diameter is drawn, resulting in two equal arcs.
- Tangent: A straight line that touches the circle at a single point, illustrating the concept of external intersection.
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