Segments of Circles: Tangents, Secants, Chords
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a tangent to a circle?
Back
A tangent to a circle is a straight line that touches the circle at exactly one point, known as the point of tangency.
2.
FLASHCARD QUESTION
Front
Define a secant line.
Back
A secant line is a line that intersects a circle at two points.
3.
FLASHCARD QUESTION
Front
What is a chord in a circle?
Back
A chord is a line segment whose endpoints lie on the circle.
4.
FLASHCARD QUESTION
Front
How do you calculate the length of a tangent segment from a point outside the circle?
Back
The length of the tangent segment can be calculated using the formula: length = √(distance from the point to the center of the circle² - radius²).
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between a tangent and a radius at the point of tangency?
Back
A tangent line is perpendicular to the radius drawn to the point of tangency.
6.
FLASHCARD QUESTION
Front
State the Tangent-Secant Theorem.
Back
The Tangent-Secant Theorem states that if a tangent and a secant are drawn from a point outside a circle, then the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a segment of a circle?
Back
The area of a segment of a circle can be calculated using the formula: Area = (r²/2)(θ - sin(θ)), where r is the radius and θ is the angle in radians.
Tags
CCSS.HSG.C.B.5
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