Practice: Equation of a 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 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

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

Which graph corresponds to

x² + (y - 6)² = 9

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with equation (x - 4)² + y² = 5?

• (-4, 0)

• (4, 0)

• (4, 1)

• (-4, 1)

Tags

CCSS.HSG.GPE.A.1

What does "h" stand for in (h,k)?

• h is the radius of the circle

• h is the distance of the circle

• h is the y coordinate of the center

• h is the x coordinate of the center

Tags

CCSS.HSG.GPE.A.1

What does the "k" in (h,k) stand for?

• k is the y coordinate of the center

• k is the x coordinate of the center

• k is the radius of the circle

• k is the distance of the circle

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 center and the radius of (x + 2)² + (y - 5)² = 49?

• (-2, 5); r = 49 units

• (-2, 5); r = 7 units

• (2, -5); r= 49 units

• (2, -5); r = 7 units

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2
• (x + h)^2 +  (y + h)^2 = r^2
• (x - h)^2 + (y - k)^2 = r^2
• (x - h)^2 - (h - k)^2 = r

Tags

CCSS.HSG.GPE.A.1