Unit 6 Quiz1-Writing the Equation for a Circle-Standard Form

What is the equation of a circle whose diameter is 24 and whose center is at the origin? 

• x²+y²=125
• x²+y²=64
• x²+y²=144
• x²+y²=576

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (4,2) and radius 5 units?

• (x + 4)² + (y + 2)² = 25
• (x + 4)² + (y + 2)² = 5
• (x - 4)² + (y - 2)² = 5
• (x - 4)² + (y - 2)² = 25

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (7,-3) and radius 8 units?

• (x - 7)² + (y + 3)² = 8
• (x - 7)² + (y + 3)² = 64
• (x + 7)² + (y - 3)² = 8
• (x + 7)² + (y - 3)² = 64

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 ?

• Centre (4,3)
  Radius = 5 units
• Centre (4,3)
  Radius = 25 units
• Centre (-4,-3)
  Radius = 25 units
• Centre (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What are the coordinates of the center and the radius of the circle with equation:
(x + 3)² + (y + 1)² = 2² ?

• Centre (-3,-1)
  Radius = 4 units
• Centre (3,1)
  Radius = 2 units
• Centre (-3,-1)
  Radius = 2 units
• Centre (3,1)
  Radius = 4 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

Tags

CCSS.HSG.GPE.A.1

The point (8,6) is on a circle with center (-1,-2). Write the equation of the circle.

• (x-1)²+(y-2)²=145
• (x+1)²+(y+2)²=12
• (x+1)²+(y+2)²=145
• (x-8)²+(y-6)²=12

Tags

CCSS.HSG.GPE.A.1

A circle is defined as a set of of points in a plane ________ from a given point. 

• separate
• equal
• equidistant 
• far

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

• C:(4, -2), r=5
• C:(-4, 2), r=5
• C:(4, -2), r=25
• C:(-4, 2), r=25

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with equation x² + ( y + 4 )² = 5?

• (0, 4)

• (0, -4)

• (1, 4)

• (-4, 0)

Tags

CCSS.HSG.GPE.A.1