Introduction to Equations of Circles

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CCSS.HSG.GPE.A.1

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CCSS.HSG.GPE.A.1

Select all the equations for a circle with a diameter of 12.

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CCSS.HSG.GPE.A.1

Select the statements that are true about the graph.

• The center is the origin.

• The radius is 6 units.

• The h-value is 0.

• The k-value is 0.

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?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

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CCSS.HSG.GPE.A.1

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

• 4

• 8

• 4√2

• 2√2

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CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

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CCSS.HSG.GPE.A.1

What is the equation of the circle with the given information?

• A

• B

• C

• D

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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

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CCSS.HSG.GPE.A.1