Geometry Equations of Circles

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

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

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

​ is the ​radius

​ is x-coordinate of the center

​ is the y-coordinate of the center

• r

• k

• h

• x

• y

Tags

CCSS.HSG.GPE.A.1

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 ​ (a)   ​ + ​ ​ (b)   = ​ (c)  

• 6.25

• 2.5

• 5

Tags

CCSS.HSG.GPE.A.1

• Center: (-9, 1)

• r=6

• Center: (9, -1)

• Center: (9, 1)

• Center: (-9, -1)

• r=36

• r=18

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle with :

center (−6 , −2 ) and a point on the circle ( 3, −6 ).

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1