Coordinates That Satisfy the Equation of a Circle

Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)² + (y-4)² = 9?

• Inside the Circle

• Outside the Circle

• On the Circle

Tags

CCSS.HSG.GPE.A.1

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

• (3,-4)

• (-3,-1)

• (5,1)

• (8,0)

Tags

CCSS.HSG.GPE.A.1

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

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

• (x - ^7)^2 + y^2 = 9

• x^2 + (y -7)^2 = 9

• (x - 7)^2 + y^2 = 3

• x^2 + (y -7)^2 = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

• (x+1)² + (y-4)² = 4

• (x+1)² + (y+4)² = 16

• (x-1)² + (y-4)² = 16

• (x+1)² + (y+4)² = 4

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

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

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242

• 11

• 121

• 22

Tags

CCSS.HSG.GPE.A.1

• (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