Square Binomials Circles

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Tags

CCSS.HSG.GPE.A.1

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 5 and center (-3, 4)?

• (x+3)² + (y-4)² = 5

• (x-3)² + (y-4)² = 25

• (x+3)² + (y-4)² = 25

• (x-3)² + (y+4)² = 5

Tags

CCSS.HSG.GPE.A.1

Write the equation of this circle in standard (center-radius) form.

Tags

CCSS.HSG.GPE.A.1

Write the equation of this circle in general form.

Tags

CCSS.HSG.GPE.A.1

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

• 625

• 5

• 10

• 25

Tags

CCSS.HSG.GPE.A.1

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

How do we convert from standard form of a circle to general form?

• 1. Move constant to other side

  2. FOIL

  3. Write binomials twice

  4. Combine like terms

  5. Put in correct order

• 1. Put in correct order

  2. FOIL

  3. Write binomials twice

  4. Move constant to other side

  5. Combine like terms

• 1. Combine like terms

  2. Write binomials twice

  3. FOIL

  4. Move constant to other side

  5. Put in correct order

• 1. Move constant to other side

  2. Write binomials twice

  3. FOIL

  4. Combine like terms

  5. Put in correct order

Tags

CCSS.HSG.GPE.A.1

How do we convert from general form of a circle to standard (center-radius) form?

• Group x's and y's 2. Move constant to other side 3. Add blanks 4. Complete the square 5. Factor

• Group x's and y's 2.Complete the square 3. Add blanks 4. Move constant to other side 5. Factor

• Group x's and y's 2.Complete the square 3. Factor 4. Move constant to other side 5. Add blanks

• Group x's and y's 2. 3. Move constant to other side 4. Complete the square 5. Factor

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49

• (x+2)² + (y+3)² = 13

• (x-2)² + (y-3)² = 49

• (x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1