Podcast
Questions and Answers
What is the center of a circle?
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?
Segment on a circle where both endpoints are located on the circle.
Define a circle.
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What is the circumference of a circle?
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What does circumscribed mean?
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What is a diameter?
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What does inscribed mean?
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What is pi?
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Define a point of tangency.
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What is a radius?
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What are secants?
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What is a semicircle?
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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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Description
Explore key terms and definitions from Chapter 10 of Glencoe Geometry. This quiz covers essential concepts such as the center, central angle, chord, and circle. Perfect for reviewing geometric principles and preparing for exams.
