Circle Equations in Standard Form

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

• x²+y²=3

• x²+y²=6

• x²+y²=9

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CCSS.HSG.GPE.A.1

See Picture

• A

• B

• C

• D

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CCSS.HSG.GPE.A.1

Which graph corresponds to (x-4)²+ (y+4)²=25

• A

• B

• C

• D

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CCSS.HSG.GPE.A.1

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

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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 equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2

• (x-3)² + (y-4)² = 2

• (x+3)² + (y+4)² = 4

• (x-3)² + (y-4)² = 4

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CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x-7)² + (y+3)² = 25?

• 3

• 5

• 10

• 25

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CCSS.HSG.GPE.A.1

What is the center of the circle with equation x² + y² = 1?

• (1, 1)

• (0, 0)

• 1

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CCSS.HSG.GPE.A.1

What is the radius of the circle with equation x² + (y+6)² = 196?

• 6

• 14

• 98

• 196

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CCSS.HSG.GPE.A.1

What is the center of the circle with equation x² + (y+6)² = 196?

• (1, 6)

• (1, -6)

• (0, 6)

• (0, -6)

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CCSS.HSG.GPE.A.1