Equations of Circles Quiz

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

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36
• (x - 5)² + (y + 2)² = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x)²+ (y-6)²=9

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

Given a center of (-2,0) and a diameter of 16, find the equation of the circle?

• (x-2)²+y²=64

• (x+2)²+(y+2)²=64

• (x+2)²+y²=64

• (x+2)²+y²=8

Tags

CCSS.HSG.GPE.A.1

If a circle has a center at (5,6) and an area of 144π, what would be the equation of the circle?

• (x-5)²+(x-6)²=144

• (x-5)²+(x-6)²=12

• (x+5)²+(x+6)²=3.46

• (x+5)²+(x+6)²=144

Tags

CCSS.HSG.GPE.A.1

What is the center and radius given the equation, 8x+x²-2y+y²-64=0?

• Center: (-4, 1), Radius: 9

• Center: (4,1), Radius: 9

• Center: (1,-4), Radius: 81

• Center: (-4, 1), Radius: 81

Tags

CCSS.HSG.GPE.A.1

When grouping the x's and y's together, to get the number in the blank you must do what?

• cut the middle number in half, then square it

• multiply the middle number by 2, then subtract 2

• cut the middle number in half, then square root it

• cut the middle number in half, then divide it by 2

Tags

CCSS.3.MD.D.8

What of the following could be a possible equation for a circle?

• x²+y²=1

• a²+b²=c²

• x+y=25

• -4a+3b=1

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of the circle given the equation, 137+6y=-y²-x²-24x ?

• Center: (-12,-3), Radius: 4

• Center: (12,3), Radius: 16

• Center: (-12,-3), Radius: 16

• Center: (12,3), Radius: 4

Tags

CCSS.HSG.GPE.A.1