Angles in Circles Review
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by two chords that intersect inside a circle?
Back
The measure of the angle is equal to the average of the measures of the arcs intercepted by the angle and its vertical angle.
Tags
CCSS.HSG.C.A.2
2.
FLASHCARD QUESTION
Front
What is the relationship between the angle formed by a tangent and a chord through the point of contact?
Back
The angle is equal to half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
3.
FLASHCARD QUESTION
Front
What is the measure of an angle formed by two secants that intersect outside a circle?
Back
The measure of the angle is equal to half the difference of the measures of the intercepted arcs.
Tags
CCSS.HSG.C.A.2
4.
FLASHCARD QUESTION
Front
What is the formula for finding the length of an arc in a circle?
Back
Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
5.
FLASHCARD QUESTION
Front
What is the formula for finding the area of a sector in a circle?
Back
Area of sector = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
6.
FLASHCARD QUESTION
Front
If two angles are inscribed in a circle and intercept the same arc, what can be said about those angles?
Back
The angles are equal.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the measure of a central angle in a circle?
Back
The measure of a central angle is equal to the measure of the arc it intercepts.
Tags
CCSS.4.MD.C.5B
CCSS.HSG.CO.A.1
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