Inside Outside on the Circle Circle Equations

Is point A(-3 , 8) inside, outside or on the circle whose equation is given by

x ² + 4x + y ² - 8y = 5

• Inside the circle

• Outside the circle

• On the circle

Tags

CCSS.HSG.GPE.A.1

Find the points of intersection of the circle with equation

(x - 2) ² + (y - 6) ² = 40

and the line with equation y = 3x

Tags

CCSS.HSA.REI.C.7

Find the center of the circle whose equation is given by

x ² + 4x + y ² - 8y = 5.

Tags

CCSS.HSG.GPE.A.1

Find the x intercepts of the graph of the circle given by the equation

x ² + 3x + y ² - 4y = 18

Write the intercepts as coordinates

Find an equation of the circle that is tangent to both the x and y axes, with a radius of 4 and whose center is located in the second quadrant.

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

• 4

• 8

• 4√2

• 2√2

Tags

CCSS.HSG.GPE.A.1

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

• 0

• 0.5

• 1

• 2

Tags

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

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to (x-8)²+ (y+2)²=r² (r will vary depending on size of circle)

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1