Standard Form of a Circle

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

A meteorite damaged a portion of a farm expressed by the equation (x - 6)² + (y - 7)² = 16. Which item on the farm was not damaged by the meteorite?

• The Silo located at
  (2, 4)

• The Barn located at
  (4, 6)

• The Pigpen located at
  (8,9)

Tags

CCSS.HSG.GPE.A.1

The equation (x+3)²+(y-5)²=r² represents circle A. The point B(0,6) lies on the circle. What is r, the length of the radius of circle A?

• √13

• 2

• 10

• √10

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle with the given information?

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Write 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

Write an equation of a circle in standard form if the center is located at (0, -2) and the radius is √3 (square root of 3).

• x² + (y - 2)² = 3

• x² + (y - 2)² = 9

• x² + (y + 2)² = 3

• (x - 1)² + (y - 2)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the equation for this circle?

• (x+1)²+(y+1)²=9

• x²+y²=9

• x²+y²=6

• x²+y²=3

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

A circle has the equation x² + y² - 12x + 8y + 3 = 0. 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

The equation of a circle is x² + y² + 6x - 12y + 20 = 0. Write the equation in standard form.

• (x - 3)² + (y + 6)² = 25

• (x + 3)² + (y - 6)² = 25

• (x - 3)² + (y + 6)² = 45

• (x + 3)² + (y - 6)² = 5

Tags

CCSS.HSG.GPE.A.1