Circle Equation

Tags

CCSS.HSG.GPE.A.1

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

• (x - 6)² + (y + 4)² = 49

• (x + 4)² + (y - 6)² = 49

• (x - 6)² + (y + 4)² = 55

• x² + y² = 55

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle whose diameter’s endpoints are (-4, 1) and (4, -5).

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

Tags

CCSS.HSG.GPE.A.1

(x-h)²+(y-k)²=r² is called the ___________ form of a circle. 

• Basic

• Vertex

• Radius

• Center-radius

Tags

CCSS.HSG.GPE.A.1

The equation of a circle is derived from....

• Pythagorean Theorem

• Quadratic Formula

• Slope Formula

• The alphabet

Tags

CCSS.HSG.GPE.A.1

A circle is defined as a set of of points in a plane ________ from a given point. 

• separate

• equal

• equidistant 

• far

How can we find the general form of a circle? 

• divide out the center-radius form

• multiply out the center-radius form

• factor out the center-radius form

• add up the center-radius form

Tags

CCSS.HSG.GPE.A.1

In order to convert from general form to center-radius form, you must ___________. 

• Multiply out

• expand

• factor

• complete the square

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is _____ and the center is ____

• 4
  (2,3)

• 2
  (-2, 3)

• 2
  (2,-3)

• 16
  (0,0)

Tags

CCSS.HSG.GPE.A.1