Equation of a Circle (Standard Form)

The endpoints of the diameter of a circle are (-10, -11) and (8, -9). Write the standard form equation of the circle.

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6

• (x - 4)^2 + (y + 5)^2 = 36

• (x + 4)^2 + (y - 5)^2 = 6

• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

• (x−6)²+(y−3)²=13

• (x−3)²+(y−6)²=13²

• (x−5)²+(y−9)²=13

• (x−9)²+(y−5)²=169/4

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with equation:
(x - 5)² + (y + 3)² = 36?

• Centre (5,-3)
  Radius = 6 units

• Centre (-5,3)
  Radius = 6 units

• Centre (-5,3)
  Radius = 36 units

• Centre (5,-3)
  Radius = 36 units

Tags

CCSS.HSG.GPE.A.1

What is the coordinates of the centre and the radius of the circle with 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 coordinates of the centre and the radius of the circle with equation:
(x + 2)² + (y + 5)² = 16 ?

• Centre  (2,5)
  Radius = 16 units

• Centre (2,5)
  Radius = 4 units

• Centre (-2,-5)
  r = 16 units

• Centre (-2,-5)
  Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (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 the circle, with centre (3,8) and radius 4 units?

• (x - 3)^2 + (y - 8)^2 = 4

• (x - 3)^2 + (y - 8)^2 = 16

• (x + 3)^2 + (y + 8)^2 = 16

• (x + 3)^2 + (y + 8)^2 = 4

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-2,-7) and radius 3 units?

• (x + 2)^2 + (y + 7)^2 = 3

• (x - 2)^2 + (y - 7)^2 = 9

• (x + 2)^2 + (y + 7)^2 = 9

• (x - 2)^2 + (y - 7)^2 = 3

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle in standard form with the center at the origin and a radius 6 units.

Tags

CCSS.HSG.GPE.A.1