Free Printable Circles

1.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

2.

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

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

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

d)

(h,k) is the distance of the circle

3.

In order to convert from expanded form to standard form, you must ___________.

a)

multiply out

b)

expand

c)

factor

d)

complete the square

4.

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

5.

What is the equation of a circle, given the center is (-2, 3) and the radius is 4?

a)

(x+2)² + (y-3)² = 2

b)

(x-2)² + (y+3)² = 16

c)

(x+2)² + (y-3)² = 16

d)

(x-2)² + (y-3)² = 2

6.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

7.

C is the center of the circle shown below. What is the equation of circle C?

a)

b)

c)

d)

8.

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

9.

The equation of a circle is x²+ y²+ 6x - 12y + 20 = 0. Write the equation in standard form.

a)

(x - 3)² + (y + 6)² = 25

b)

(x + 3)² + (y - 6)² = 25

c)

(x - 3)² + (y + 6)² = 45

d)

(x + 3)² + (y - 6)² = 5

10.

What is the center of this circle?

a)

(-4, -1)

b)

(4, -1)

c)

(-4, 1)

d)

(4, 1)

11.

What is the radius of this circle?

a)

r = 2

b)

r = 3

c)

r = 6

d)

r = 4

12.

Find 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

13.

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

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

14.

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

a)

(1, 1)

b)

(0, 0)

c)

not enough information

d)

(-1, -1)

15.

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

a)

4

b)

2

c)

8

d)

23

16.

Which graph corresponds to

(x-8)²+ (y+2)²= 2

a)

A

b)

B

c)

C

d)

D

17.

The graph of

\left(x+3\right)^2+\left(y-1\right)^2=16

a)

b)

c)

d)

18.

Which of the following graphs match the equation:

a)

b)

c)

d)

19.

Select the matching graph.

a)

b)

c)

d)

20.

Convert the equation of the circle from standard to expanded form: $\left(x+16\right)^2+\left(y-1\right)^2=4$

a)

$x^2+y^2-32x-2y+253=0$

b)

$x^2+y^2+32x-2y+256=0$

c)

$x^2+y^2+32x-2y+253=0$

d)

$x^2+y^2+32x-2y+241=0$

Circles

Total questions: 20

Worksheet time: 5hrs 0mins

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