Equation Of a Circle

Which of the following is the equation of a circle with a radius of 5 and a center (-3,2) ?

• (x-3)²+(y+2)²=25

• (x+3)²+(y-2)=5

• (x+3)²+(y-2)²=25

• (x-3)²+(y+2)²=5

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with an equation of (x+3)²+y²=144 ?

• (3,0)

• (0,3)

• (-3,0)

• (0,-3)

Tags

CCSS.HSG.GPE.A.1

Select the equation of a circle that has a diameter of 12.

• (x-6)²+(y+6)²=12

• (x-12)²+(y-2)²=6

• (x+1)²+(y-12)²=144

• (x-4)²+(y-1)²=36

Tags

CCSS.HSG.GPE.A.1

Select all equations that have a radius of 3.

• (x-3)²+(y-3)²=3

• (x+6)²+(y-2)²=9

• (x+5)²+y²=6

• (x-7)²+(y-1)²=9

• (x-2)²+(y-3)²=6

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with a center at (-2,3) and a point on the circle at (-2,7).

• (x+2)²+(y-3)²=16

• (x+2)²+(y-3)²=4

• (x-2)²+(y+3)²=4

• (x-2)²+(y+3)²=16

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with a center at (-2,1) and a point on the circle at (0,3).

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

Identify the center and radius of the circle with an equation of (x-4)²+(y-1)²=49

• Center: (-4,-1) and radius: 24.5

• Center: (4,1) and radius: 24.5

• Center: (-4,-1) and radius: 7

• Center: (4,1) and radius: 7

Tags

CCSS.HSG.GPE.A.1

Which point lies on the circle (x+4)²+(y-1)²=25 ?

• (-4,1)

• (-1,-1)

• (-4,6)

• (5,5)

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with a center at (0,2) and a diameter of 8.

• x²+(y-2)²=8

• x²+(y-2)²=64

• x²+(y-2)²=4

• x²+(y-2)²=16

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle graphed above.

• (x-2)²+(y+2)²=9

• (x+2)²+(y-2)²=9

• (x-2)²+(y+2)²=3

• (x+2)²+(y-2)²=3

Tags

CCSS.HSG.GPE.A.1