Equation of Circle Review

What is the equation of the circle?

• (x+2)²+(y-3)²=4

• (x+2)²+(y-3)²=16

• (x-2)²+(y+3)²=4

• (x-2)²+(y+3)²=16

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle given the diameter with endpoints (1, 2) and (3, -2)? (Hint: Use midpoint and distance formula)

• (x+2)²+y²=5

• (x+1)²+(y+2)²=5

• (x-2)²+y²=20

• (x-2)²+y²=5

Tags

CCSS.HSG.GPE.A.1

What is the general form of the circle (x+4)²+(y-2)²=12?

• x²+y²+8x-4y+8=0

• x²+y²+8x-4y+20=0

• x²+y²+8x+4y+8=0

• x²+y²+8x-4y= -8

Tags

CCSS.HSG.GPE.A.1

Which of the following points is outside of the circle (x+5)²+(y-4)²=30

• (-2, 6)

• (5, 4)

• (-6, -1)

• (0, 2)

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle x²+y²-15=8x -14y? (Hint: Move all terms so the equation is in general form, then complete the square to convert to standard form.)

• (4, -7)

• (-4, 7)

• (8, -14)

• (-8, 14)

Tags

CCSS.HSG.GPE.A.1

Which circle represents the equation

x²+y²-12y+27=0? (Hint: convert to standard form)

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of the circle (x+5)²+(y+1)²=49

• Center (5, 1); radius=49

• Center (5, 1); radius=7

• Center (-5, -1); radius=7

• Center (-5, -1); radius=49

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle given the center is (-2, 3) and the circle is tangent to the line x = 3?

• (x+2)²+(y-3)²=9

• (x+2)²+(y-3)²=3

• (x+2)²+(y-3)²=25

• (x+2)²+(y-3)²=5

Tags

CCSS.HSG.GPE.A.1

What series of transformations will map circle (x-1)²+(y-3)²=16 to a circle with the center (-2, 5) with a radius of 2?

• Transformation <-1, 8> and dilation of 2

• Transformation <-1, 8> and dilation of 1/2

• Transformation <-3, 2> and dilation of 2

• Transformation <-3, 2> and dilation of 1/2

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What is the radius of the circle x²+y²+2x+6y-6=0 (Hint: Convert to standard form)

• 6

• 4

• sqrt(4)

• sqrt(6)

Tags

CCSS.HSG.GPE.A.1