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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 2 — Foundation
What is the standard form of the equation of a circle with center at (3, -2) and radius 4?
(x - 3)^{2} + (y + 2)^{2} = 16
(x + 3)^{2} + (y - 2)^{2} = 16
(x - 3)^{2} + (y - 2)^{2} = 16
(x + 3)^{2} + (y + 2)^{2} = 16
If the equation of a circle is (x + 1)^{2} + (y - 4)^{2} = 25, what is the radius of the circle?
5
6
4
3
What is the center of the circle represented by the equation (x - 2)^{2} + (y + 3)^{2} = 9?
(2, -3)
(-2, 3)
(2, 3)
(-2, -3)
Which of the following points lies on the circle defined by the equation (x - 4)^{2} + (y - 1)^{2} = 36?
(4, 7)
(10, 1)
(4, -5)
(4, 1)
What is the equation of a circle with center at (0, 0) and radius 3?
x^{2} + y^{2} = 9
x^{2} + y^{2} = 3
(x - 3)^{2} + (y - 3)^{2} = 9
(x + 3)^{2} + (y + 3)^{2} = 9
Which of the following represents a circle centered at (-5, 2) with a radius of 1?
(x + 5)^{2} + (y - 2)^{2} = 1
(x - 5)^{2} + (y + 2)^{2} = 1
(x + 5)^{2} + (y + 2)^{2} = 1
(x - 5)^{2} + (y - 2)^{2} = 1
What is the radius of the circle given by the equation (x - 6)^{2} + (y + 8)^{2} = 64?
8
6
4
10
In the equation (x - 1)^{2} + (y - 1)^{2} = 4, what is the center of the circle?
(1, 1)
(1, -1)
(-1, 1)
(0, 0)
If a circle has a diameter of 10, what is its radius?
5
10
20
15
What is the equation of a circle with a center at (0, 0) and passing through the point (3, 4)?
x^{2} + y^{2} = 25
x^{2} + y^{2} = 12
x^{2} + y^{2} = 16
x^{2} + y^{2} = 20
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