In the equation (x+3)²+(y-2)²=4, what is the center of the circle?
Conic - Circle Unit 4 Review

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Mathematics
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10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The center of the circle is at (-3, 2).
2.
FLASHCARD QUESTION
Front
What is the standard form of a circle's equation?
Back
The standard form is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.
3.
FLASHCARD QUESTION
Front
Determine the center and radius of the circle given by the equation: x² + y² + 10x - 8y - 8 = 0.
Back
Center C = (-5, 4), Radius r = 7.
4.
FLASHCARD QUESTION
Front
In the equation (x-3)²+(y-2)²=16, what is the radius of the circle?
Back
The radius of the circle is 4 (since r² = 16).
5.
FLASHCARD QUESTION
Front
What does the term 'radius' refer to in a circle?
Back
The radius is the distance from the center of the circle to any point on its circumference.
6.
FLASHCARD QUESTION
Front
How do you find the center of a circle from its equation in standard form?
Back
The center (h, k) can be found directly from the equation (x-h)² + (y-k)² = r².
7.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the diameter of a circle?
Back
The diameter is twice the radius (d = 2r).
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