Free Printable Circles in Coordinate Plane

1.

Write the standard form of the equation of this circle.

a)

$x^2+y^2=7$

b)

$x^2+y^2=49$

c)

$x^2+y^2=\sqrt{7}$

2.

Write the standard form of the equation of this circle.

a)

$\left(x-5\right)^2+\left(y-1\right)^2=5$

b)

$\left(x+5\right)^2+\left(y+1\right)^2=25$

c)

$\left(x-5\right)^2+\left(y-1\right)^2=25$

d)

$\left(x+5\right)^2+\left(y+1\right)^2=5$

3.

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

a)

$x^2+y^2=64$

b)

$x^2+y^2=8$

c)

$x^2+y^2=\sqrt{8}$

d)

$x^2+y^2=16$

4.

Write the standard form of the equation of a circle with center (0, 0) and a point on the circle is $\left(3,-4\right)$ .

a)

$x^2+y^2=5$

b)

$x^2+y^2=25$

c)

$x^2+y^2=4$

d)

$x^2+y^2=16$

5.

In the standard $\left(x,y\right)$ coordinate plane, a circle with its center at $\left(8,5\right)$ and a radius of $9$ coordinate units has which of the following equations?

a)

$\left(x-8\right)^2+\left(y-5\right)^2=81$

b)

$\left(x-8\right)^2+\left(y-5\right)^2=9$

c)

$\left(x+8\right)^2+\left(y+5\right)^2=81$

d)

$\left(x+8\right)^2+\left(y+5\right)^2=9$

e)

$\left(x+5\right)^2+\left(y+8\right)^2=81$

6.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

7.

What is the equation of the circle shown in the graph?

8.

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

a)

(x+1)² + (y-3)²= 4000

b)

(x+5)² + (y-0)²= 25

c)

(x+1)² + (y-3)²= 25

d)

(x-1)² + (y+3)²= 25

9.

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

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

10.

The equation of a circle is given. Use completing the square to write the equation in standard form.

a)

$\left(x-3\right)^2+y^2=4$

b)

$x^2+\left(y-3\right)^2=4$

c)

$\left(x-6\right)^2+\left(y+9\right)^2=4$

d)

$\left(x+6\right)^2+\left(y-9\right)^2=4$

11.

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

a)

$\left(x\right)^2+\left(y+5\right)^2=4$

b)

$\left(x\right)^2+\left(y-5\right)^2=4$

c)

$\left(x\right)^2+\left(y+5\right)^2=2$

d)

$\left(x\right)^2+\left(y-5\right)^2=2$

12.

Write the standard form of the equation of a circle with center $\left(3,-2\right)$ and a point on the circle is $\left(23,19\right)$ .

a)

$\left(x+3\right)^2+\left(y-2\right)^2=29$

b)

$\left(x-3\right)^2+\left(y+2\right)^2=29$

c)

$\left(x+3\right)^2+\left(y-2\right)^2=841$

d)

$\left(x-3\right)^2+\left(y+2\right)^2=841$

13.

Which equation is shown in this graph?

a)

$x^2+y^2=4$

b)

$\left(x-3\right)^2+y^2=4$

c)

$\left(x+3\right)^2+y^2=4$

d)

$x^2+\left(y-3\right)^2=4$

14.

Which equation is shown in this graph?

a)

$x^2+y^2=4$

b)

$\left(x-3\right)^2+y^2=4$

c)

$\left(x+3\right)^2+y^2=4$

d)

$x^2+\left(y-3\right)^2=4$

15.

Which equation is shown in this graph?

a)

$x^2+y^2=4$

b)

$\left(x-3\right)^2+y^2=4$

c)

$\left(x+3\right)^2+y^2=4$

d)

$x^2+\left(y-3\right)^2=4$

16.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

17.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

18.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

19.

See Picture

a)

A

b)

B

c)

C

20.

See Picture

a)

A

b)

B

c)

C

d)

D

Circles in Coordinate Plane

Total questions: 20

Worksheet time: 20mins

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