Write the equation for the circle with center at (- 8, - 6) and radius of 10.

(x+8)² + (y + 6)² = 10
(x+8)² + (y + 6)² = 100
(x-8)² + (y - 6)² = 100


Find the standard equation for the circle with center on the positive x-axis and passing through the origin with radius of 2.

x² + y² = 4
(x + 2)² + y² = 4
(x - 2)² + y² = 4

Choose the appropriate description for the equation.

Given: 10(x - 3)2 + 10(y + 4)2 = 100

circle
point-circle
no circle


Choose the appropriate description for the equation.

Given: (x - 2)2 + (y + 3)2 = 49

circle
point-circle
no circle

Write the equation for the circle with center at (1, - 2) and passing through the origin.

(x - 1)² + (y + 2)² = 0
(x - 1)² + (y + 2)² = 5
(x - 1)² + (y + 2)² = 25

Choose the appropriate description for the equation.

Given: x2 + y2 = 0

circle
point-circle
no circle


Write the equation for the circle with center at (6,0) and radius of 6.

(x - 6)² + y² = 36
(x + 6)² + y² = 36
(x - 6)² - y² = 36


Write the equation for the circle with center at (0,0) and radius of 4.

x² + y² = 4
x² - y² = 16
x² + y² = 16

3 answers

What is your questions about this test?

It is really easy.

if a,b is the center of a circle of radius r, then the equation is

(x-a)^2+(y-b)^2=r^2

You should memorize that.
It probably would be easy, but I don't have a teacher teaching me this. I do all my school work online and I just need this class to finish and graduate.
Write the equation of the circle centered at
(

8
,
6
)
with radius 16.