Circles in the Coordinate Plane

Write the standard form of the equation of this circle.

Write the standard form of the equation of this circle.

Write the standard form of the equation of a circle with center (0,0) and radius 8.

Write the standard form of the equation of a circle with center (0, -5) and radius 2.

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

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

Answer explanation

The correct equation for a circle is x²+y²=r², where r is the radius. In this case, the equation x²+y²=9 represents the circle with a radius of 3.

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

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

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 = 144

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6