Geometry Circle Equation

Identify the center and radius given the standard form of the equation of a circle

• Center: (-3,7); Radius: 6

• Center: (-3,7); Radius: 36

• Center: (3,-7); Radius: 36

• Center: (3,-7); Radius: 6

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with center at (–7, 11), radius 8

• (x – 7)² + (y + 11)² = 256

• (x + 7)² + (y – 11)² = 64

• (x – 7)² + (y + 11)² = 64

• (x + 7)² + (y – 11)² = 256

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle?

• 2

• 4

• 1

• 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x - 2)² + (y - 1)² = 2²

• (x + 2)² + (y + 1)² = 4²

• (x + 2)² + (y - 1)² = 2

• (x +2)² + (y + 1)² = 4²

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

• Center: (-9, 1)

• r=6

• Center: (9, -1)

• Center: (9, 1)

• Center: (-9, -1)

• r=36

• r=18

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 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