How to find the equation of a circle

Practice Questions

SSAT Upper Level Quantitative (Math) › How to find the equation of a circle

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1

A circle on the coordinate plane has center and area $36 \pi$ . Give its equation.

2

A circle on the coordinate plane has center and circumference $20 \pi$ . Give its equation.

3

What is the equation of a circle that has its center at and has a radius of ?

4

A square on the coordinate plane has as its vertices the points . Give the equation of a circle circumscribed about the square.

5

Give the circumference of the circle on the coordinate plane whose equation is

$x^{2}+ y^{2}+ 4x- 6y + 2 = 0$

6

Which of the following is the equation of a circle with center at the origin and circumference $64 \pi$ ?

7

A square on the coordinate plane has as its vertices the points . Give the equation of a circle inscribed in the square.

8

Which of the following is the equation of a circle with center at the origin and area $64 \pi$ ?

9

Give the area of the circle on the coordinate plane whose equation is

$x^{2}+ y^{2}+ 4x- 8y -11 = 0$ .

10

Circle

Give the equation of the above circle.

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