Equation of a Circle

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2
• (x + h)^2 +  (y + h)^2 = r^2
• (x - h)^2 + (y - k)^2 = r^2
• (x - h)^2 - (h - k)^2 = r

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 centered at the origin with a radius of 6.

• x^2 + y^2 = 6

• x^2 + y^2 = 36

• x + y = 6

• x + y = 36

Tags

CCSS.HSG.GPE.A.1

Write the most simplified equation of a circle with a center of (7, 0) and a radius of 7.

• (x - ^7)^2 + y^2 = 49

• x^2 + (y - 7)^2 = 49

• (x + 7)^2 + y^2 = 49

• (x - 7)^2 + (y - 0)^2 = 49

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with the equation (x - 4)² + y² = 5?

• (-4, 0)

• (4, 0)

• (4, 5)

• (-4, 5)

Tags

CCSS.HSG.GPE.A.1

A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).

• (x + 1)² + (y - 3)² = 5

• (x - 1)² + (y + 3)² = 25

• (x + 1)² + (y - 3)² = 25

• (x - 1)² + (y + 3)² = 5

Tags

CCSS.HSG.GPE.A.1

What is the correct graph for the equation x² + y² = 4?

• 
• 
• 
• The correct answer is not provided.

Tags

CCSS.HSG.GPE.A.1

Graph the equation x² + y² = 9. Is the point (3 , 5) inside, outside, or on this circle?

• Inside the Circle

• Outside the Circle

• On the Circle

Tags

CCSS.HSG.GPE.A.1

Given: (x - 4)² + (x - 3)² = 121.

What is the radius of this circle?

• 4

• 3

• 11

• 121

Tags

CCSS.HSG.GPE.A.1

A line segment between two points that passes through the center of the circle is called the...

• Radius

• Diameter

• Chord

• Tangent

Tags

CCSS.HSG.C.A.2