Equation of Circle Given Center and Point

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 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

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

Write the equation of this circle in standard form. Then sketch it labeling the center and endpoints of the horizontal and vertical diameters using exact coordinates. -6y +x^2 +y^2 +18x-10=100

Tags

CCSS.HSG.GPE.A.1

A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).

• (x + 1)² + (y - 3)² = 5

• (x - 1)² + (y + 3)² = 25

• (x + 1)² + (y - 3)² = 25

• (x - 1)² + (y + 3)² = 5

Tags

CCSS.HSG.GPE.A.1

A circle has a center of (1, -5) and passes through the point (-7, -13). What is the equation of this circle? (Hint: graph to find the length of the radius).

• (x + 1)² + (y - 5)² = 128

• (x - 1)² + (y + 5)² = 11.31

• (x - 1)² + (y + 5)² = 128

• (x + 1)² + (y + 5)² = 11.31

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle centered at the origin with a radius of 6.

• x^2 + y^2 = 6

• x^2 + y^2 = 36

• x + y = 6

• x + y = 36

Tags

CCSS.HSG.GPE.A.1

Write the most simplified equation of a circle with a center of (7, 0) and a radius of 7.

• (x - ^7)^2 + y^2 = 49

• x^2 + (y - 7)^2 = 49

• (x + 7)^2 + y^2 = 49

• (x - 7)^2 + (y - 0)^2 = 49

Tags

CCSS.HSG.GPE.A.1

What is the center and

the radius of this circle?

• Center: (12, 8)

  Radius = 5 units

• Center: (-12 ,8)

  Radius = 25 units

• Center: (-12,-8)

  Radius = 5 units

• Center: (12, 8)

  Radius = 25 units

Tags

CCSS.HSG.GPE.A.1