6.3.1 Circle Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the standard equation of a circle centered at (h, k) with radius r?
Back
The standard equation is (x - h)² + (y - k)² = r².
2.
FLASHCARD QUESTION
Front
How do you determine if a point (x, y) is inside, on, or outside a circle given by the equation (x - h)² + (y - k)² = r²?
Back
Calculate the distance from the point to the center (h, k). If the distance < r, the point is inside; if = r, it's on the circle; if > r, it's outside.
3.
FLASHCARD QUESTION
Front
What is the center and radius of the circle given by the equation x² + y² = 49?
Back
Center: (0, 0), Radius: 7.
4.
FLASHCARD QUESTION
Front
Given the circle equation (x - 6)² + (y - 11)² = 144, what is the center and radius?
Back
Center: (6, 11), Radius: 12.
5.
FLASHCARD QUESTION
Front
How do you find the diameter of a circle if you know the radius?
Back
The diameter is twice the radius (d = 2r).
6.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the diameter of a circle?
Back
The diameter is always twice the length of the radius.
7.
FLASHCARD QUESTION
Front
What is the equation of a circle with center (13, -5) and diameter 8?
Back
The equation is (x - 13)² + (y + 5)² = 16.
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