Equation of a Circle

What is the equation of the circle?

• (x+1)^2 + (y +1)^2 = 3

• (x+1)^2 + (y -1)^2 = 3

• (x+1)^2 + (y +1)^2 = 9

• (x-1)^2 + (y -1)^2 = 9

Tags

CCSS.HSG.GPE.A.1

If the endpoints of a diameter of a circle are (-12, -7) and (3, 5), find the center of the circle.

• (-4.5, -1)

• (-7.5, -6)

• (4.5, 1)

• (7.5, 6)

Tags

CCSS.HSG.GPE.A.1

The point (-5,6) is on a circle with center (-1,3). What is the equation of the circle?

• (x + 1)² + (y - 3)² = 4000

• (x + 5)² + y² = 25

• (x + 1)² + (y - 3)² = 25

• (x - 1)² + (y + 3)² = 25

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• $\left(x+1\right)^2+\left(y+1\right)^2=9$

• $x^2+y^2=9$

• $x+y=9$

• $x^2+y^2=3$

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with an equation:
(x + 7)² + (y - 6)² = 64 ?

• Centre (7,-6)
  Radius = 8 units
• Centre (-7,6)
  Radius = 64 units
• Centre (-7,6)
  Radius = 8 units
• Centre (7,-6)
  Radius = 64 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (4,2) and radius 5 units?

• (x + 4)² + (y + 2)² = 25
• (x + 4)² + (y + 2)² = 5
• (x - 4)² + (y - 2)² = 5
• (x - 4)² + (y - 2)² = 25

Tags

CCSS.HSG.GPE.A.1

Determine the center and radius: x² + y² + 14x - 2y = -1

• C = (-7,2), r = 3

• C = (-7,1), r = 7

• C = (-4,1), r = 5

• C = (-14,2), r = 1

Tags

CCSS.HSG.GPE.A.1

A circle has the equation  x² + y² - 12x + 8y + 3 = 0.  Use completing the square to write the equation in standard form.

• (x - 6)² + (y + 4)² = 49
• (x + 4)² + (y - 6)² = 49
• (x - 6)² + (y + 4)² = 55
• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1

What does (h,k) standard for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1

Which graph represents the circle:

x² + (y - 6)² = 9

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1