Equations of Circles
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard equation of a circle?
Back
(x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.
2.
FLASHCARD QUESTION
Front
What does the center of a circle represent in its equation?
Back
The center (h, k) is the point around which the circle is defined.
3.
FLASHCARD QUESTION
Front
In the equation (x-4)² + (y-3)² = 25, what is the radius of the circle?
Back
The radius is 5, since 25 = 5².
4.
FLASHCARD QUESTION
Front
How do you find the center of a circle from its equation?
Back
The center can be found at (h, k) from the standard form (x-h)² + (y-k)² = r².
5.
FLASHCARD QUESTION
Front
What is the diameter of a circle?
Back
The diameter is twice the radius.
6.
FLASHCARD QUESTION
Front
If the diameter of a circle is 12, what is the radius?
Back
The radius is 6.
7.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the equation of a circle?
Back
The radius is the distance from the center to any point on the circle, represented as r in the equation.
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