Geometry Equation Of A Circle Study Guide

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

• (3,2)

• (-3,-2)

• (-2,-3)

• (2,3)

In the equation (x-4)²+(y-3)²=25, the radius is

• 4

• 25

• 5

• 3

What is the length of the diameter of the circle represented by the equation (x+1)²+(y-5)²=36?

• 6

• 12

• 36

• 72

For the equation of a circle (x-2)²+(y+3)²=49, what are the coordinates of its center?

• (2, 3)

• (-2, -3)

• (2, -3)

• (-2, 3)

If the equation of a circle is (x+4)²+(y-6)²=64, what is the radius of the circle?

• 8

• 64

• 16

• 4

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

What is the area of the circle described by the equation (x-5)²+(y+4)²=100?

• 100π

• 200π

• 10π

• 50π

What is the equation for this circle?

• (x+1)+(y+1)=9

• x²+y²=9

• x+y=9

• (x+1)²+(y+1)²=81

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

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