Equation of a Circle Practice

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

If a point (1,2) lies on a circle whose equation is (x-2)²+(y+1)²=___, then the missing value is

• 4

• 8

• 10

• 12

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

The equation x²+y²-2x+6y+3=0 is equivalent to

• (x-1)²+(y+3)²=7

• (x-1)²+(y+3)²=-3

• (x+1)²+(y+3)²=7

• (x+1)²+(y+3)²=10

Tags

CCSS.HSA.SSE.B.3

CCSS.HSG.GPE.A.1

The center and radius, respectively, of the circle x2+y2+6x-2y-15=0 are:

• (3,-1), 5

• (-3,1),  $\sqrt{10}$  

• (3,-1),   $\sqrt{10}$  

• (-3,1), 5

Tags

CCSS.HSG.GPE.A.1

Which translation, when applied to the center of the circle x²+y²=4, creates the congruent circle x²+y²+8x-10y+37=0?

• T_4,5

• T_4,-5

• T_-4,-5

• T_-4,5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

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

The center and the radius, respectively, of the circle 4x²+4y²-32x+24y=-96 are:

• (4,-3), 2

• (4,-3), 1

• (-4,3), 2

• (-4,3), 1

Tags

CCSS.HSG.GPE.A.1

Which circle has a diameter whose endpoints are (4,-1) and (-6,7)?

• (x-1)²+(y+3)²=52

• (x-1)²+(y+3)²=41

• (x+1)²+(y-3)²=41

• (x+1)²+(y-3)²=52

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