What is the standard form of a circle's equation?
Circle Equations Flashcard

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Mathematics
•
8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
2.
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 number on the right side of the equation in standard form: (x - h)² + (y - k)² = r².
3.
FLASHCARD QUESTION
Front
What is the center of the circle in the equation (x - 1)² + (y + 3)² = 25?
Back
The center of the circle is (1, -3).
4.
FLASHCARD QUESTION
Front
If the radius of a circle is 5, what is the equation of the circle centered at (2, -1)?
Back
The equation of the circle is (x - 2)² + (y + 1)² = 25.
5.
FLASHCARD QUESTION
Front
What does the term 'diameter' refer to in a circle?
Back
The diameter is the distance across the circle through its center, equal to twice the radius.
6.
FLASHCARD QUESTION
Front
In the equation (x + 4)² + (y - 2)² = 36, what is the radius?
Back
The radius is 6, since √36 = 6.
7.
FLASHCARD QUESTION
Front
How do you determine the center of a circle from its equation?
Back
The center can be determined from the equation (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center.
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