Deriving and Using the Equation of a Circle

• Center (3,-4.5) radius 6.9

• Center (3, -4.5) radius 7

• Center (-3, 4.5) radius 6.9

• Center (-3, 4.5) radius 47.25

Tags

CCSS.HSG.GPE.A.1

Use the information provided to write the standard form equation of the circle.

• A

• B

• C

• D

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CCSS.HSG.GPE.A.1

Write the Equation to the circle with center of (2,5) and radius 6.

• (x-2)² + (y-5)²= 6

• (x-2)² + (y-5)²= 36

• (x+2)² + (y-5)²= 6

• (x+2)² + (y+5)²= 36

Tags

CCSS.HSG.GPE.A.1

• (3, -4)

• (-3, 4)

• (4, 3)

• (-4, -3)

Tags

CCSS.HSG.GPE.A.1

• 242

• 11

• 121

• 22

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CCSS.HSG.GPE.A.1

• center: (-7,2)

  radius = 3

• center: (-4,1)

  radius = 5

• center: (-7,1)

  radius = 7

• center: (7,-1)

  radius = 7

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 11 and center (-2,9)?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6

• (x - 4)^2 + (y + 5)^2 = 36

• (x + 4)^2 + (y - 5)^2 = 6

• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle
(x+7)²+(y-2)²=144?

• 7

• 12

• 13

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)

• (4, 3)

• (-4, -3)

• (3, 4)

Tags

CCSS.HSG.GPE.A.1