6. Circles and Conics

Circle Equations — Quiz

Test your understanding of circle equations with 5 practice questions.

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Practice Questions

Question 1

A circle has its center at $( -3, 6)$ and is tangent to the line $y = 10$. What is the standard form equation of this circle?

Question 2

What is the general form of the equation of a circle with center $( -2, 5)$ and radius $6$?

Question 3

A circle passes through the point $( -1, 3)$ and has its center at $(2, -1)$. What is the standard form equation of this circle?

Question 4

The equation of a circle is given as $x^2 + y^2 + 2x - 8y - 8 = 0$. What is the radius of this circle?

Question 5

A circle has a diameter with endpoints at $( -4, 2)$ and $(2, -6)$. What is the standard form equation of this circle?