
Equations of Circles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of the equation of a circle?
Back
The standard form of the equation of a circle is (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 of a circle is the point (h, k) in the equation (x-h)² + (y-k)² = r², which is equidistant from all points on the circle.
3.
FLASHCARD QUESTION
Front
How do you find the radius from the equation of a circle?
Back
The radius can be found by taking the square root of the value on the right side of the equation in standard form: (x-h)² + (y-k)² = r².
4.
FLASHCARD QUESTION
Front
What is the center of the circle with equation x² + y² = 25?
Back
The center is (0, 0).
5.
FLASHCARD QUESTION
Front
What is the radius of the circle with equation (x-2)² + (y+3)² = 16?
Back
The radius is 4.
6.
FLASHCARD QUESTION
Front
If the equation of a circle is (x+1)² + (y-2)² = 9, what is the center?
Back
The center is (-1, 2).
7.
FLASHCARD QUESTION
Front
What is the equation of a circle with center (3, -4) and radius 5?
Back
The equation is (x-3)² + (y+4)² = 25.
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