Circles flashcards

0/15

15 cards remaining

Take the chapter practice test

All 15 cards in this deckShow

How are the radius and diameter of a circle related?Circle Parts and Angle Measures: The radius goes from the center to the circle’s edge. A diameter crosses the center and is two radii long.
How is a central angle related to its intercepted arc?Circle Parts and Angle Measures: A central angle has the same measure as its intercepted arc.
What does the equation of a circle describe?Circle Parts and Angle Measures: All points exactly one radius away from the center: (x − h)² + (y − k)² = r².
What is the difference between a minor arc and a major arc?Arcs and Chords: A minor arc measures less than 180°. The major arc is the rest of the circle: 360° minus the minor arc.
In the same circle, what is true about congruent chords?Arcs and Chords: Congruent chords intercept congruent arcs.
In the same circle, what is true about chords that are equidistant from the center?Arcs and Chords: They are congruent.
What does the Inscribed Angle Theorem say?Inscribed Angles: An inscribed angle measures half of its intercepted arc.
What is true about inscribed angles that intercept the same arc?Inscribed Angles: They are congruent.
What is true about the opposite angles of a quadrilateral inscribed in a circle?Inscribed Angles: They are supplementary; they add to 180°.
How does a tangent line meet the radius drawn to the point of tangency?Tangents and Secants: At a right angle; the tangent is perpendicular to the radius.
What is true about two tangent segments drawn to a circle from the same outside point?Tangents and Secants: They are congruent.
How do you find the angle formed by two secants that meet outside a circle?Tangents and Secants: Take half the difference of the intercepted arcs: ½(far arc − near arc).
How do you find the length of an arc?Arc Length and Sector Area: (central angle ÷ 360°) × 2πr.
How do you find the area of a sector?Arc Length and Sector Area: (central angle ÷ 360°) × πr².
What fraction of a circle does a sector with central angle θ represent?Arc Length and Sector Area: θ ÷ 360°.