What is the standard equation of a circle with center (h, k) and radius r?
Equations of Circles

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
(x - h)² + (y - k)² = r²
2.
FLASHCARD QUESTION
Front
What does the variable 'h' represent in the equation of a circle?
Back
h represents the x-coordinate of the center of the circle.
3.
FLASHCARD QUESTION
Front
What does the variable 'k' represent in the equation of a circle?
Back
k represents the y-coordinate of the center of the circle.
4.
FLASHCARD QUESTION
Front
If a circle has a center at (3, -2) and a radius of 5, what is its equation?
Back
(x - 3)² + (y + 2)² = 25
5.
FLASHCARD QUESTION
Front
What is the radius of a circle if its equation is (x + 1)² + (y - 4)² = 36?
Back
The radius is 6.
6.
FLASHCARD QUESTION
Front
How do you find the center of a circle from its equation (x - 2)² + (y + 3)² = 16?
Back
The center is (2, -3).
7.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the area of a circle?
Back
Area = πr², where r is the radius.
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