Equations of Circles Geometry

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

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

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

• 10

• 3

• 5

• 25

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x)²+ (y-6)²=9

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

​ (a)   ​ is the ​radius

​ (b)   ​ is x-coordinate of the center

​ (c)   ​ ​ is the y-coordinate of the center

• r

• k

• h

• x

• y

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

Write the equation of a circle with center (7, 0) with radius 5.

Mathematical Equivalence

ON

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

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

• 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