Equations of Circles Given Center and Point

What is the equation of a circle with radius 5 and center (-3, 4)?

• (x+3)² + (y-4)² = 5

• (x-3)² + (y-4)² = 25

• (x+3)² + (y-4)² = 25

• (x-3)² + (y+4)² = 5

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2

• (x-3)² + (y-4)² = 2

• (x+3)² + (y+4)² = 4

• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x-7)² + (y+3)² = 25?

• 3

• 5

• 10

• 25

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242

• 11

• 121

• 22

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x-2)²+(y+3)²=81

• (x+3)²+(y-2)²=9

• (x-2)²+(y+3)²=9

• (x+3)²+(y-2)²=3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (7,-3) and radius 8 units?

• (x - 7)^2 + (y + 3)^2 = 8

• (x - 7)^2 + (y + 3)^2 = 64

• (x + 7)^2 + (y - 3)^2 = 8

• (x + 7)^2 + (y - 3)^2 = 64

Tags

CCSS.HSG.GPE.A.1

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

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

• Centre  (4,3)
  Radius = 5 units

• Centre  (4,3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 25 units

• Centre  (-4,-3)
  Radius = 5 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

What is the equation of a circle whose diameter is 24 and whose center is at the origin?

• x²+y²=125

• x²+y²=64

• x²+y²=144

• x²+y²=576

Tags

CCSS.HSG.GPE.A.1