Circle Conics

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

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

• (x – 2)² + (y – 1)² = 9

• (x – 2)² + (y – 1)² = 3

• (x + 2)² + (y + 1)² = 9

• (x + 2)² + (y + 1)² = 3

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

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9

• x² + (y -7)² = 9

• (x - 7)² + y² = 3

• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

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

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

The radius is....

• a line that crosses through the center and touches each edge 

• the center point of a circle 

• a line from the center point to the edge of the circle

• an element in science

Which of the following does NOT represent a circle?

• x² + y² = 7

• (x - 2)² = (y + 5)

• (x - 5)² + y² = 25

• (x - 1)² + (y - 9)² = 4

Tags

CCSS.HSG.GPE.A.1

The endpoints of the diameter of a circle are (15, 4) and

(9, -4). Write the equation of the circle.

• (x - 3)² + (y - 4)² = 144

• (x - 3)² + (y - 4)² = 12

• (x - 12)² + y² = 25

• (x - 12)² + y² = 5

Tags

CCSS.HSG.GPE.A.1

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

• (2, 3)

• (3, 2)

• (-3, -2)

• (-2, -3)

Tags

CCSS.HSG.GPE.A.1

Classify the conic section.

• Circle

• Ellipse

• Line

• None of these

Tags

CCSS.HSG.GPE.A.1