Circle Equation Standard

Write the equation of the circle with center C( -5, 8 ) and radius = 7.

• ( x - 5 )² + ( y + 8 )² = 14

• ( x - 5 )² + ( y - 8 )² = 49

• ( x - 5 )² + ( y + 8 )² = 49

• ( x + 5 )² + ( y - 8 )² = 49

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle (x+7)²+(y-2)²=144?

• 7

• 12

• 13

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 diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x² + y² = r². If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

• (h + x)² + (k + y)² = r²

• (x – h)² + (y – k)²= r²

• (k + x)² + (h + y)² = r²

• (x – k)² + (y – h)² = r²

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle given the diameter with endpoints (1, 2) and (3, -2)? (Hint: Use midpoint and distance formula)

• (x+2)²+y²=5

• (x+1)²+(y+2)²=5

• (x-2)²+y²=20

• (x-2)²+y²=5

Tags

CCSS.HSG.GPE.A.1

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x+2)²+y²=16

• (x+2)²+x²=16

• (x+4)²+y²=4

• (x+20)²+y²=12

Tags

CCSS.HSG.GPE.A.1

Which equation matches the circle on the graph?

• (x+1)²+(y+3)²=4

• (x-3)²+(y-1)²=4

• (x+3)²+(y+1)²=4

• (x+5)²+(y+1)²=3

Tags

CCSS.HSG.GPE.A.1

What is the equation of this circle?

• (x - 2)² + (y - 1)² = 4

• (x + 2)²+(y + 1)²=16

• (x + 2)² + (y - 1)² = 4

• (x + 2)²+(y - 1)²=16

Tags

CCSS.HSG.GPE.A.1

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

• (x – 9)² + (y + 4)² = 25

• (x + 4)² + (y – 9)² = 25

• (x – 9)² + (y + 4)² = 100

• (x + 4)² + (y – 9)² = 100

Tags

CCSS.HSG.GPE.A.1