SAT OwlQuestion bank / Geometry and Trigonometry
SAT Circles practice questions
Circles is one of the skills tested in the Geometry and Trigonometry domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
A circle in the xy-plane has equation (x - 3)^2 + (y + 2)^2 = 16. What are the center and radius of the circle?EasyQuestion 2
A circle has a circumference of 18 inches. What is the area, in square inches, of the circle?EasyQuestion 3
A circle has a diameter of 14 centimeters. What is the circumference, in centimeters, of the circle?EasyQuestion 4
A circle has a radius of 6 centimeters. What is the area, in square centimeters, of a sector of the circle with a centraMediumQuestion 5
In the xy-plane, a circle has center (-2, 5) and passes through the point (4, -3). Which of the following is an equationMediumQuestion 6
A circle has a radius of 8 centimeters. An arc of the circle has a length of 4 centimeters. What is the measure, in degrMediumQuestion 7
Points A, B, and C lie on a circle. Inscribed angle ABC intercepts arc AC, which measures 110^. What is the measure of aMediumQuestion 8
Which of the following is an equation of the circle in the xy-plane with center (0, -4) and radius 7?MediumQuestion 9
A circle in the xy-plane has equation x^2 + y^2 - 10x + 6y - 15 = 0. What is the radius of the circle?HardQuestion 10
Points A and B lie on a circle with center O and radius 10. The length of chord AB is 103. What is the length of the minHardQuestion 11
In the xy-plane, the graph of x^2 + y^2 + 8x - 4y = k is a circle with radius 9. What is the value of k?HardQuestion 12
In the xy-plane, a circle has center (3, 4), and the point (6, 8) lies on the circle. What is the slope of the line tangHardQuestion 13
A circle in the xy-plane has equation x^2 + y^2 - 2x + 4y - 20 = 0. Which of the following points lies in the interior oHardQuestion 14
In the xy-plane, the circle with equation (x + 3)^2 + (y - 1)^2 = 26 intersects the x-axis at two points. What is the diHardQuestion 15
The circle with equation x^2 + y^2 - 6x + 8y = 0 has center (h, k) and radius r. What is the value of h + k + r?Hard
A circle in the xy-plane has equation (x - 3)^2 + (y + 2)^2 = 16. What are the center and radius of the circle?EasyQuestion 2
A circle has a circumference of 18 inches. What is the area, in square inches, of the circle?EasyQuestion 3
A circle has a diameter of 14 centimeters. What is the circumference, in centimeters, of the circle?EasyQuestion 4
A circle has a radius of 6 centimeters. What is the area, in square centimeters, of a sector of the circle with a centraMediumQuestion 5
In the xy-plane, a circle has center (-2, 5) and passes through the point (4, -3). Which of the following is an equationMediumQuestion 6
A circle has a radius of 8 centimeters. An arc of the circle has a length of 4 centimeters. What is the measure, in degrMediumQuestion 7
Points A, B, and C lie on a circle. Inscribed angle ABC intercepts arc AC, which measures 110^. What is the measure of aMediumQuestion 8
Which of the following is an equation of the circle in the xy-plane with center (0, -4) and radius 7?MediumQuestion 9
A circle in the xy-plane has equation x^2 + y^2 - 10x + 6y - 15 = 0. What is the radius of the circle?HardQuestion 10
Points A and B lie on a circle with center O and radius 10. The length of chord AB is 103. What is the length of the minHardQuestion 11
In the xy-plane, the graph of x^2 + y^2 + 8x - 4y = k is a circle with radius 9. What is the value of k?HardQuestion 12
In the xy-plane, a circle has center (3, 4), and the point (6, 8) lies on the circle. What is the slope of the line tangHardQuestion 13
A circle in the xy-plane has equation x^2 + y^2 - 2x + 4y - 20 = 0. Which of the following points lies in the interior oHardQuestion 14
In the xy-plane, the circle with equation (x + 3)^2 + (y - 1)^2 = 26 intersects the x-axis at two points. What is the diHardQuestion 15
The circle with equation x^2 + y^2 - 6x + 8y = 0 has center (h, k) and radius r. What is the value of h + k + r?Hard