Circle Equations Review

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

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle graphed in the picture?

• (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

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5)

• (-9/2, -1)
• (-15/2, -6)
• (9/2, 1)
• (15/2, 6)

Tags

CCSS.HSG.GPE.B.6

The point (-5,6) is on a circle with center (-1,3). Write the equation of the circle.

• (x+5)²+(y-6)²=25
• (x-5)²+(y-2)²=25
• (x+1)²+(y-3)²=25
• (x-1)²+(y+3)²=25

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

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

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

What is the standard equation of a circle?

• (x-k)² + (y-h)² = r²

• (x+h)² + (y+k)² = r²

• (x-h)² + (y-k)² = r²

• (k-x)² + (h-y)² = r²

Tags

CCSS.HSG.GPE.A.1

What does (h,k) standard for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

Tags

CCSS.HSG.GPE.A.1