Arcs, Inscribed and Central Angles

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an arc in a circle?
Back
An arc is a portion of the circumference of a circle, defined by two endpoints on the circle.
2.
FLASHCARD QUESTION
Front
Define inscribed angle.
Back
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.
3.
FLASHCARD QUESTION
Front
What is a central angle?
Back
A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that extend to the circle.
4.
FLASHCARD QUESTION
Front
How do you calculate the measure of an arc?
Back
The measure of an arc can be calculated using the formula: Arc Measure = Central Angle Measure.
5.
FLASHCARD QUESTION
Front
What is the relationship between an inscribed angle and the arc it intercepts?
Back
The measure of an inscribed angle is half the measure of the arc it intercepts.
6.
FLASHCARD QUESTION
Front
If the measure of arc AB is 68°, what is the measure of ∠AOB?
Back
The measure of ∠AOB is 68° because it is a central angle.
7.
FLASHCARD QUESTION
Front
If the measure of arc DC is 122°, what is the measure of ∠DIC?
Back
The measure of ∠DIC is 61° because it is an inscribed angle that intercepts arc DC.
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