Determine the Equation of a Circle in Standard Form

Practice Questions

Pre-Calculus › Determine the Equation of a Circle in Standard Form

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1

Write the equation for in standard form

2

Determine the equation for a circle in standard form, centered at (3,-4), with radius 2.

3

Geo_8_sec_6_graphik_3

If each mark on the graph represents units, what is the equation of the circle?

4

A circle centered at (6,1) passes through (11,13). Write an equation for the circle in standard form.

5

Which choice would be the circle in standard form?

6

What is the equation of a circle with radius of and center of ?

7

Given the following equation for a circle, determine the coordinates of its center, as well as the coordinates of the four points directly, above, below, to the left, and to the right of the center:

$\frac{(x+5)^2}{3}+\frac{(y-4)^2}{3}=3$

8

Graph the circle indicated by the equation

$\small (x-3)^2+(y+2)^2=4$

9

Find the equation of the circle if it is centered at $\small (6,4)$ and has a radius of $\small 5$ units.

10

Express the following equation for a circle in standard form:

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

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