Segments in Circles
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a segment in a circle?
Back
A segment in a circle is a region bounded by a chord and the arc that it subtends.
2.
FLASHCARD QUESTION
Front
What is the formula for the area of a circle segment?
Back
The area of a circle segment can be calculated using the formula: Area = (r^2/2) * (θ - sin(θ)), where r is the radius and θ is the angle in radians.
Tags
CCSS.HSG.C.B.5
3.
FLASHCARD QUESTION
Front
What is the relationship between the angles formed by two intersecting chords in a circle?
Back
The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
Tags
CCSS.HSG.C.A.2
4.
FLASHCARD QUESTION
Front
How do you find the length of an arc in a circle?
Back
The length of an arc can be found using the formula: 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 relationship between the angles formed by a tangent and a chord?
Back
The angle formed between a tangent and a chord through the point of contact is equal to the measure of the opposite arc.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
What is a sector in a circle?
Back
A sector is a region of a circle bounded by two radii and the arc between them.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a sector?
Back
The area of a sector can be calculated using the formula: Area = (θ/360) * πr^2, where θ is the central angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
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