Equation for Circle Geometry

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

What is the equation of the circle?

• (x + 5)² + (y +1)² = 3²

• (x - 5)² + (y - 1)² = 3³

• (x - 5)² + (y +1)² = 3

• (x - 5)² + (y - 1)² = 3²

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with this information?

• (x - 3)² + (y - 1)² = 6.5²

• (x + 3)² + (y - 1)² = 13²

• (x - 3)² + (y + 1)² = 6.5³

• (x + 3)² + (y + 1)² = 6.5²

Tags

CCSS.HSG.GPE.A.1

What is the radius of a circle with this information?

• √85

• √13

• √54

• √88

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

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

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 ​ + ​ = ​

• 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

Write the standard equation of the circle with center (3, −2) and radius 6 units.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1