Loading Lesson Content...

Circle Equations

This worksheet covers Circle Equations, which is part of the Circles Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.

More in Circles Destroyer

*View full SAT Math Destroyer Crash Course course with step by step lessons and online quiz modules.*

Related Lessons:

Want to reach top 5% in SAT Math?

Learn shortcut methods and time-saving strategies with our SAT Math Destroyer Crash Course.

View Destroyer Course →

Circle Equations

Circles Destroyer • SAT Math Destroyer Crash Course

Set 1 — Mastery

What is the equation of a circle with center at $(3, -2)$ and a radius of $5$ ?

$(x - 3)^{2} + (y + 2)^{2} = 25$

$(x + 3)^{2} + (y - 2)^{2} = 5$

$(x - 3)^{2} + (y - 2)^{2} = 25$

$(x + 3)^{2} + (y + 2)^{2} = 5$

Find the center of the circle given by the equation $x^{2} + y^{2} - 4x + 6y + 9 = 0$ .

$(2, -3)$

$(2, 3)$

$(-2, 3)$

$(-2, -3)$

What is the radius of the circle described by the equation $(x - 1)^{2} + (y + 4)^{2} = 16$ ?

$2$

$4$

$8$

$16$

If the center of a circle is at $(0, 0)$ and it passes through the point $(3, 4)$ , what is the equation of the circle?

$(x - 3)^{2} + (y - 4)^{2} = 25$

$x^{2} + y^{2} = 25$

$(x + 3)^{2} + (y + 4)^{2} = 25$

$(x - 3)^{2} + (y + 4)^{2} = 25$

What is the circumference of a circle with a radius of $7$ ?

$14 ext{π}$

$21 ext{π}$

$28$

$49 ext{π}$

A circle has the equation $x^{2} + y^{2} = 36$ . What is the diameter of the circle?

$6$

$12$

$18$

$36$

What is the area of a circle with a radius of $4$ ?

$8 ext{π}$

$12 ext{π}$

$16 ext{π}$

$20 ext{π}$

What is the standard equation of a circle with center at $(5, 5)$ and passing through the point $(7, 8)$ ?

$(x - 5)^{2} + (y - 5)^{2} = 13$

$(x + 5)^{2} + (y + 5)^{2} = 13$

$(x - 5)^{2} + (y - 5)^{2} = 9$

$(x - 5)^{2} + (y - 5)^{2} = 25$

Which of the following points lies on the circle defined by the equation $(x - 1)^{2} + (y + 2)^{2} = 25$ ?

$(1, -2)$

$(6, -2)$

$(1, 3)$

$(1, 5)$

10.

What type of conic section is represented by the equation $x^{2} + y^{2} - 4x - 6y + 9 = 0$ ?

Circle

Ellipse

Hyperbola

Parabola

Feel free to use these worksheets in your classroom or share the link with students and colleagues!

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Mastery Set 2Mastery Set 3Mastery Custom Worksheet