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This worksheet covers Graphing Circles, which is part of the Circle Measurements and Graphs module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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View Destroyer Course →Circle Measurements and Graphs • SAT Math
Set 5 — Mastery
What is the equation of a circle centered at (3, -2) with a radius of 5?
(x - 3)^{2} + (y + 2)^{2} = 25
(x + 3)^{2} + (y - 2)^{2} = 25
(x - 3)^{2} + (y - 2)^{2} = 25
(x + 3)^{2} + (y + 2)^{2} = 25
Determine the center and radius of the circle given by the equation: 2(x - 4)^{2} + 2(y + 1)^{2} = 18.
Center: (4, -1), Radius: 3
Center: (4, -1), Radius: 3√2
Center: (2, -1), Radius: 3
Center: (4, 1), Radius: 3√2
If a circle has a diameter of 10, what is the radius of the circle?
5
10
15
20
What is the area of a circle with a radius of 4?
16π
8π
12π
20π
Which of the following represents a circle centered at the origin with a radius of 6?
x^{2} + y^{2} = 36
x^{2} + y^{2} = 12
x^{2} + y^{2} = 18
x^{2} + y^{2} = 24
What is the effect on the graph of the circle described by the equation (x - 2)^{2} + (y + 3)^{2} = 16 if the equation is changed to (x - 2)^{2} + (y + 3)^{2} = 25?
The radius increases
The radius decreases
The center moves
The circle disappears
A circle has the equation x^{2} + y^{2} + 10x - 4y + 9 = 0. What is the center of the circle?
(-5, 2)
(5, -2)
(-5, -2)
(5, 2)
The circle defined by the equation (x + 1)^{2} + (y - 4)^{2} = 9 is translated 3 units to the right. What is the new equation of the circle?
(x + 4)^{2} + (y - 4)^{2} = 9
(x - 2)^{2} + (y - 4)^{2} = 9
(x + 1)^{2} + (y - 4)^{2} = 36
(x + 4)^{2} + (y - 4)^{2} = 36
What is the length of the diameter of a circle with an area of 50π?
10
5√2
5
10√2
Which of the following equations represents a circle that has a center at (0, 0) and passes through the point (4, 3)?
x^{2} + y^{2} = 25
x^{2} + y^{2} = 16
x^{2} + y^{2} = 20
x^{2} + y^{2} = 10
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