General Equation of a Circle

Which of the following is an example of an equation of a circle?

• y = 8x – 1

• y² = 324

• x² + y² = 9

• 6x + y – 24 = 0

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

Tags

CCSS.HSG.GPE.A.1

Which of the following is the equation of a circle whose center is at (0, -10) and radius is √2 units?

• (x – 10)² + y² = √2

• x² + y² = 4

• x² + (y + 10)² = 2

• x² – y² = 4

Tags

CCSS.HSG.GPE.A.1

Which of the following is the radius of the equation (x – 3)² + (y – 14)² = 175?

• 7√5 units

• 5√7 units

• √7 units

• √5 units

Tags

CCSS.HSG.GPE.A.1

What is the center-radius form of a circle whose center is at (0, 16) and a radius of √43 units?

• x² + (y – 16)² = 43

• (x – 16)² + y² = √43

• x² – y² = √43

• x² + y² = 43

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to (x-4)²+ (y+4)²=25

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)

• (4, 3)

• (-4, -3)

• (3, 4)

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

Write the equation of a circle with center
(7, 0) with radius 3. 

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1