Circle Equation Practice

Identify the coordinates of the center and the length of the radius in the circles below
 $\left(x-5\right)^2+\left(y+2\right)^2=4$  

radius:  __________________    Center: (___, _____)

• Radius: 4    Center (-5,2)

• Radius: 4     Center (5,-2)

• Radius: 2      Center(-5,2)

• Radius: 2      Center (5,-2)

Identify the coordinates of the center and the length of the radius in the circles below
 $\left(x+2\right)^2+\left(y-1\right)^2=9$  

radius:                       Center: (___, _____)

• Radius: 9     Center (-2,1)

• Radius: 9     Center (2,-1)

• Radius: 3    Center (-2,1)

• Radius:      Center (2,-1)

Identify the coordinates of the center and the length of the radius in the circles below.
$$
\left(x-1\right)^2+\left(y-3\right)^2=36 
radius: ________________   Center: (___, _____)

• Center (-1,-3)  radius: 36

• Center (-1,-3)  radius: 6

• Center (1,3)  radius: 6

• Center (1,3)  radius: 36

Write the equation of the circle.

• $\left(x+4\right)^2+\left(y+3\right)^2=5$

• $\left(x-4\right)^2+\left(y-3\right)^2=5$

• $\left(x+4\right)^2+\left(y+3\right)^2=25$

• $\left(x-4\right)^2+\left(y-3\right)^2=25$

Write the equation of circle and draw its graph given the radius and center below.
radius: 9      center (0, 5)

•  $x^2+\left(y+5\right)^2=9$  

•  $\left(x+5\right)^2+y^2=81$  

•  $\left(x-5\right)^2+y^2=9$  

•  $x^2+\left(y-5\right)^2=81$  

Write the equation of circle and draw its graph given the radius and center below.
radius: 7      center (8, -3)

•  $\left(x-8\right)^2+\left(y+3\right)^2=7$  

•  $\left(x-8\right)^2+\left(y+3\right)^2=49$  

•  $\left(x+8\right)^2+\left(y-3\right)^2=7$  

•  $\left(x+8\right)^2+\left(y-3\right)^2=49$  

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x - 7)² + (y + 3)² = 25?

• 3

• 5

• 10

• 25

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36
• (x - 5)² + (y + 2)² = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

• (x - 6)² + (y + 4)² = 49

• (x + 4)² + (y - 6)² = 49

• (x - 6)² + (y + 4)² = 55

• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1