Segments in Circles
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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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 = r * θ, where r is the radius and θ is the angle in radians.
Tags
CCSS.HSG.C.B.5
5.
FLASHCARD QUESTION
Front
What is the measure of a central angle in a circle?
Back
A central angle is the angle whose vertex is at the center of the circle and whose sides intersect the circle.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
What is the relationship between the inscribed angle and the arc it intercepts?
Back
The measure of an inscribed angle is half the measure of the arc it intercepts.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is a chord in a circle?
Back
A chord is a line segment whose endpoints lie on the circle.
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