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Math · High School

Geometry, Unit 7: Circles

Geometry, Unit 7: Circles. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.

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What is a circle?
The set of all points equidistant from a fixed center point
What is the radius of a circle?
The distance from the center to any point on the circle
What is the diameter of a circle?
The distance across the circle through its center, twice the radius
What is a chord of a circle?
A segment connecting two points on the circle
What is the longest chord in any circle?
The diameter
What is a secant line?
A line that intersects a circle at two points
What is a tangent line to a circle?
A line that touches the circle at exactly one point
What is true about a tangent line and the radius drawn to the point of tangency?
They are perpendicular
What is an arc of a circle?
A portion of the circle's circumference
What is a minor arc?
An arc smaller than a semicircle (less than 180 degrees)
What is a major arc?
An arc larger than a semicircle (more than 180 degrees)
What is a semicircle?
An arc that is exactly half the circle (180 degrees)
What is a central angle?
An angle whose vertex is at the center of the circle
What is the relationship between a central angle and its intercepted arc?
They have the same degree measure
What is an inscribed angle?
An angle whose vertex lies on the circle, formed by two chords

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