Equations of Circles

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

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 radius of the circle

Tags

CCSS.HSG.GPE.A.1

What does the r in the standard equation stand for?

• r is the diameter of the circle

• r is the radius of the circle

• r is the x coordinate of the center of the circle

• r is the y coordinate of the center of the circle

Tags

CCSS.HSG.GPE.A.1

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

• (x - 7)² + y² = 9

• (x + 7)² + y² = 3

• (x - 7)² + y² = 3

• (x + 7)²+ y² = 9

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of a circle with an equation (x+5)² + (y-1)² = 64

• Center is (5,-1) and radius is 8

• Center is (-5, 1) and radius is 8

• Center is (-1, 5) and radius is 8

• Center is (-5,1) and radius is 64

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units
• Center (4,3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16

• x² + (y-8)²= 4

• x² + (y-8)² = 4

• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1

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

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x²+y²=3

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