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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 3 — Foundation
What is the standard form of the equation of a circle with center (2, -3) and radius 4?
(x - 2)^{2} + (y + 3)^{2} = 16
(x + 2)^{2} + (y - 3)^{2} = 16
(x - 2)^{2} + (y - 3)^{2} = 16
(x + 2)^{2} + (y + 3)^{2} = 16
What is the center of the circle with the equation (x - 3)^{2} + (y + 2)^{2} = 36?
(3, -2)
(-3, 2)
(3, 2)
(-3, -2)
Which of the following points lies on the circle defined by the equation (x - 1)^{2} + (y - 1)^{2} = 9?
(4, 1)
(1, 4)
(1, -2)
(0, 0)
The diameter of a circle is 10 units. What is the radius?
5
10
20
2.5
If the center of a circle is at (-5, 4) and it has a radius of 2, what is the equation of the circle?
(x + 5)^{2} + (y - 4)^{2} = 4
(x - 5)^{2} + (y + 4)^{2} = 4
(x + 5)^{2} + (y + 4)^{2} = 4
(x - 5)^{2} + (y - 4)^{2} = 4
Which of the following describes the radius of a circle?
The distance from the center to any point on the circle.
The distance across the circle through the center.
The distance from one point on the circle to another.
The area enclosed by the circle.
In which quadrant does the circle defined by the equation (x - 2)^{2} + (y - 3)^{2} = 1 lie?
Only Quadrant I
Quadrants I and II
All quadrants
Only Quadrant IV
What is the radius of a circle if the area is 36π?
6
12
18
9
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