Equations of Circles

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(y-3)²=25, the radius is

• 4
• 3
• 5
• 25

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

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

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25
• (x+3)² + (y-6)² = 25
• (x-3)² + (y+6)² = 45
• (x+3)² + (y-6)² = 5

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

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49
• (x+2)² + (y+3)² = 13
• (x-2)² + (y-3)² = 49
• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5). Find the equation of the circle.

• (x−6)²+(y−3)²=13

• (x−3)²+(y−6)²=13²

• (x−5)²+(y−9)²=13

• (x−9)²+(y−5)²=169/4

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle in standard form that has a center at (-2, -10) and the point (1, -6) is on the circle.

•  $\left(x+2\right)^2+\left(y+10\right)^2=25$  

•  $\left(x-4\right)^2+\left(y+11\right)^2=25$  

•  $\left(x+2\right)^2+\left(y+10\right)^2=625$  

•  $\left(x-10\right)^2+\left(y+2\right)^2=25$  

Tags

CCSS.HSG.GPE.A.1

The endpoints of the diameter of a circle are (-10, -11) and (8, -9). Write the standard form equation of the circle.

• $\left(x-8\right)^2+\left(y+1\right)^2=6724$

• $\left(x+1\right)^2+\left(y+10\right)^2=82$

• $\left(x-1\right)^2+\left(y-10\right)^2=6724$

• $\left(x+1\right)^2+\left(y-10\right)^2=82$

Tags

CCSS.HSG.GPE.A.1