What is the standard form of the equation of a circle?
Equations of a Cirlce

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Mathematics
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8th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
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
How do you find the center of a circle from its equation?
Back
The center of a circle can be found from the equation (x - h)² + (y - k)² = r² by identifying the values of h and k.
3.
FLASHCARD QUESTION
Front
What is the radius of a circle?
Back
The radius of a circle is the distance from the center to any point on the circle, represented by r in the equation.
4.
FLASHCARD QUESTION
Front
If the equation of a circle is (x + 2)² + (y - 5)² = 16, what is the center?
Back
The center of the circle is (-2, 5).
5.
FLASHCARD QUESTION
Front
What is the diameter of a circle?
Back
The diameter of a circle is twice the radius, represented as d = 2r.
6.
FLASHCARD QUESTION
Front
How do you calculate the diameter from the equation of a circle?
Back
The diameter can be calculated as d = 2√r², where r is the radius from the equation.
7.
FLASHCARD QUESTION
Front
What does the term 'h' represent in the circle equation?
Back
In the equation (x - h)² + (y - k)² = r², 'h' represents the x-coordinate of the center of the circle.
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