Equations of Circles Review

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of the equation of a circle?
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 radius of a circle from its equation?
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+2)² = 9?
Back
The center of the circle is (1, -2).
4.
FLASHCARD QUESTION
Front
In the equation (x+4)² + (y-5)² = 25, what is the radius?
Back
The radius of the circle is 5.
5.
FLASHCARD QUESTION
Front
What does the equation x² + y² = 16 represent?
Back
This represents a circle centered at (0, 0) with a radius of 4.
6.
FLASHCARD QUESTION
Front
How do you convert the equation (x-3)² + (y+1)² = 16 into standard form?
Back
The equation is already in standard form: (x-3)² + (y+1)² = 4².
7.
FLASHCARD QUESTION
Front
What is the equation of a circle with center (0, 0) and radius 3?
Back
The equation is x² + y² = 9.
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