Tangents of Circles

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Easy
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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
What is the relationship between a tangent and the radius at the point of tangency?
Back
A tangent is perpendicular to the radius drawn to the point of tangency.
3.
FLASHCARD QUESTION
Front
If a line segment AB is tangent to circle C at point A, what can be said about the distance from the center of the circle to point A?
Back
The distance from the center of the circle to point A is the radius of the circle.
4.
FLASHCARD QUESTION
Front
How do you find the radius of a circle when given the length of a tangent and the distance from the center to the point of tangency?
Back
Use the Pythagorean theorem: radius^2 + tangent_length^2 = distance_from_center^2.
Tags
CCSS.HSG.C.A.2
5.
FLASHCARD QUESTION
Front
What is the formula to calculate the length of a tangent from a point outside the circle?
Back
The length of the tangent (t) can be calculated using the formula: t = √(d^2 - r^2), where d is the distance from the point to the center of the circle and r is the radius.
Tags
CCSS.HSG.C.A.2
6.
FLASHCARD QUESTION
Front
If the radius of a circle is 10 cm, what is the length of a tangent from a point 15 cm away from the center?
Back
Using the formula: t = √(15^2 - 10^2) = √(225 - 100) = √125 = 11.18 cm.
Tags
CCSS.HSG.C.A.2
7.
FLASHCARD QUESTION
Front
What is the significance of the point of tangency in relation to the circle?
Back
The point of tangency is the only point where the tangent line touches the circle, and it is the point where the radius is perpendicular to the tangent.
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