What is the standard form of the equation of a circle?
Equation of a Circle

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•
Mathematics
•
9th - 12th Grade
•
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 given the endpoints of the diameter?
Back
The center of the circle is the midpoint of the diameter. If the endpoints are (x1, y1) and (x2, y2), the center is ((x1 + x2)/2, (y1 + y2)/2).
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.
4.
FLASHCARD QUESTION
Front
If the diameter of a circle is 10, what is the radius?
Back
The radius is half of the diameter, so the radius is 5.
5.
FLASHCARD QUESTION
Front
What is the equation of a circle with center (0, 0) and radius 3?
Back
The equation is x² + y² = 9.
6.
FLASHCARD QUESTION
Front
How do you convert the equation (x - 2)² + (y + 3)² = 16 to standard form?
Back
The equation is already in standard form: (x - h)² + (y - k)² = r².
7.
FLASHCARD QUESTION
Front
What does the term 'h' represent in the circle equation (x - h)² + (y - k)² = r²?
Back
The term 'h' represents the x-coordinate of the center of the circle.
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