Geo Arcs and Chords

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the relationship between congruent arcs and chords in a circle?
Back
In a circle (or congruent circles), congruent arcs have congruent chords.
Tags
CCSS.8.G.A.2
2.
FLASHCARD QUESTION
Front
How do you find the length of a chord given the radius and the angle subtended at the center?
Back
Use the formula: Chord length = 2 * r * sin(θ/2), where r is the radius and θ is the angle in degrees.
Tags
CCSS.HSG.C.A.2
3.
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.HSG.CO.A.1
CCSS.4.MD.C.5B
4.
FLASHCARD QUESTION
Front
How do you calculate the measure of an arc given the central angle?
Back
The measure of an arc is equal to the measure of the central angle that subtends it.
Tags
CCSS.HSG.C.B.5
5.
FLASHCARD QUESTION
Front
What is the formula for the length of an arc?
Back
Arc length = (θ/360) * 2 * π * r, where θ is the central angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by two intersecting chords?
Back
The measure of the angle formed by two intersecting chords is equal to the average of the measures of the arcs intercepted by the angle.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
How do you find the measure of an inscribed angle?
Back
The measure of an inscribed angle is half the measure of the intercepted arc.
Tags
CCSS.HSG.C.A.2
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