Angles in Circles
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of an angle in a circle?
Back
An angle in a circle is formed by two rays (sides of the angle) that share a common endpoint (the vertex) and are drawn from the center of the circle to the circumference.
2.
FLASHCARD QUESTION
Front
What is the measure of a central angle?
Back
A central angle is equal to the measure of the arc it intercepts.
3.
FLASHCARD QUESTION
Front
What is the relationship between inscribed angles and central angles?
Back
An inscribed angle is half the measure of the central angle that intercepts the same arc.
4.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
C = 2πr, where r is the radius of the circle.
5.
FLASHCARD QUESTION
Front
What is the equation of a circle with center (h, k) and radius r?
Back
(x - h)² + (y - k)² = r².
6.
FLASHCARD QUESTION
Front
If two chords intersect inside a circle, how do you find the measure of the angles formed?
Back
The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
7.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by a tangent and a chord?
Back
The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.
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