Podcast
Questions and Answers
What is a central angle?
What is a central angle?
- An angle that intersects a circle in 2 points with its vertex at the center of the circle (correct)
- An angle whose vertex is outside the circle
- An angle formed by two radii
- An angle that intersects a circle in only one point
What is a chord?
What is a chord?
A segment with endpoints that are on the circle.
What defines a circle?
What defines a circle?
The locus of all points in a plane equidistant from a given point called the center.
What is the circumference of a circle?
What is the circumference of a circle?
When is a circle said to be circumscribed about a polygon?
When is a circle said to be circumscribed about a polygon?
What is a diameter?
What is a diameter?
What does it mean for a polygon to be inscribed in a circle?
What does it mean for a polygon to be inscribed in a circle?
What is necessary for an angle to intercept an arc?
What is necessary for an angle to intercept an arc?
What is a major arc?
What is a major arc?
What is a minor arc?
What is a minor arc?
What is pi?
What is pi?
What is the point of tangency?
What is the point of tangency?
What is a radius?
What is a radius?
What is a secant?
What is a secant?
What is a semicircle?
What is a semicircle?
What is a tangent?
What is a tangent?
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Study Notes
Circle Geometry Vocabulary
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Central Angle: Intersects a circle at two points, vertex located at the circle's center.
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Chord: A segment whose endpoints lie on the circumference of a circle.
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Circle: A set of points equidistant from a central point, known as the center.
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Circumference: The total distance around the circle.
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Circumscribed Circle: A circle that encompasses all vertices of a polygon, forming a boundary.
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Diameter: The longest chord, passing through the center of a circle, measuring twice the radius.
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Inscribed Polygon: A polygon with all vertices located on a circle.
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Intercepted Arc: An arc is intercepted when endpoints lie on an angle with all other points within the circle's interior.
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Major Arc: An arc measuring greater than 180 degrees.
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Minor Arc: An arc measuring less than 180 degrees.
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Pi (Ï€): An irrational number, given by the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
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Point of Tangency: The single point where a tangent line intersects the circle.
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Radius: A segment connecting the center of the circle to any point on its circumference.
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Secant Line: A line that intersects the circle at two distinct points.
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Semicircle: An arc that spans half a circle, measuring exactly 180 degrees.
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Tangent Line: A line that touches the circle at one point, not penetrating the circle.
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