Practice Equation of a Circle

Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?

• (x-1)²+(y+3)²=4

• (x-1)²+(y+3)²=16

• (x+1)²+(y-3)²=4

• (x+1)²+(y-3)²=16

Tags

CCSS.HSG.GPE.A.1

A flattened crop circle has a diameter of 300 feet. If this circle is represented graphically, with the center located at the coordinates (3,4), which equation represents the boundary of the crop circle?

• x²+y²=90,000

• (x-3)²+(y-4)²=22,500

• (x+3)²+(y+4)²=22,500

• (x-3)²+(y-4)²=90,000

Tags

CCSS.HSG.GPE.A.1

Which circle has a center at (-3,-6) and passes through the point (-4,8)?

• (x-3)²+(y-6)²=197

• (x+3)²+(y+6)²=197

• (x-3)²+(y-6)²=32

• (x+3)²+(y+6)²=32

Tags

CCSS.HSG.GPE.A.1

Which choice is the equation of a circle with center (-3,4) and passing through (-6,0)?

• (x+3)²+(y-4)²=25

• (x+3)²+(y-4)²=27

• (x-3)²+(y+4)²=25

• (x-3)²+(y+4)²=27

Tags

CCSS.HSG.GPE.A.1

• (x+7)²+(y-4)²=18

• (x-7)²+(y+4)²=324

• (x+7)²+(y-4)²=324

• (x+7)²+(y-4)²=81

• (x-7)²+(y+4)²=81

Tags

CCSS.HSG.GPE.A.1

• (x+2)²+(y+8)²=25

• (x-2)²+(y-8)²=10

• (x+2)²+(y+8)²=10

• (x+2)²+(y+8)²=100

• (x-2)²+(y-8)²=100

Tags

CCSS.HSG.GPE.A.1

• (x-3)²-(y+1)²=8

• (x-3)²+(y+1)²=8

• (x+3)²+(y-1)²=16

• (x-3)²-(y+1)²=16

• (x-3)²+(y+1)²=16

Tags

CCSS.HSG.GPE.A.1

• (x+5)²+(y+2)²=9

• (x-2)²+(y-5)²=9

• (x+2)²+(y+5)²=9

• (x+2)²+(y+5)²=3

• (x-2)²+(y-5)²=6

Tags

CCSS.HSG.GPE.A.1

• (x+6)²+(y-1)²=14

• (x-6)²+(y+1)²=49

• (x+6)²+(y-1)²=49

• (x+6)²+(y-1)²=7

• (x-6)²+(y+1)²=7

Tags

CCSS.HSG.GPE.A.1

• (x+4)²+(y+13)²=16

• (x-4)²+(y-13)²=16

• (x-4)²+(y-13)²=64

• (x+4)²+(y+13)²=256

• (x-4)²+(y-13)²=256

Tags

CCSS.HSG.GPE.A.1