11-4 Circles on Coordinate Plane
Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard equation of a circle in the coordinate plane?
Back
(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 is the square root of the value on the right side of the equation (x - h)² + (y - k)² = r².
3.
FLASHCARD QUESTION
Front
What is the center of the circle in the equation (x - 3)² + (y + 4)² = 121?
Back
The center is (3, -4).
4.
FLASHCARD QUESTION
Front
What is the radius of the circle in the equation (x - 3)² + (y + 4)² = 121?
Back
The radius is 11.
5.
FLASHCARD QUESTION
Front
What does the equation (x + 1)² + (y + 1)² = 9 represent?
Back
A circle with center (-1, -1) and radius 3.
6.
FLASHCARD QUESTION
Front
How can you determine if a point lies inside, on, or outside a circle?
Back
Calculate the distance from the point to the center and compare it to the radius.
7.
FLASHCARD QUESTION
Front
What is the general form of a circle's equation?
Back
x² + y² + Dx + Ey + F = 0, where D, E, and F are constants.
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