Deriving the Equation of a Circle

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

Write the Equation to the circle with center of (2,5) and radius 6.

• (x-2)² + (y-5)²= 6

• (x-2)² + (y-5)²= 36

• (x+2)² + (y-5)²= 6

• (x+2)² + (y+5)² = 36

Tags

CCSS.HSG.GPE.A.1

The radius of a circle has length 6. The center is at (-5, 2). Give 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

Which is the equation of this circle?

• None of these

Tags

CCSS.HSG.GPE.A.1

The equation of a circle is derived from

• gradient-intercept forumla

• point-slop form

• distance formula

• quadratic equation

Tags

CCSS.HSG.GPE.A.1

Use the information provided to write the standard form equation of the circle.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

• center: (-7,2)

  radius = 3

• center: (-4,1)

  radius = 5

• center: (-7,1)

  radius = 7

• center: (7,-1)

  radius = 7

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 11 and center (-2,9)?

Mathematical Equivalence

ON

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

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)

• (4, 3)

• (-4, -3)

• (3, 4)

Tags

CCSS.HSG.GPE.A.1