Free Printable Equations of circles and such.

1.

What is the equation of this circle?

a)

(x - 2)² + (y - 1)² = 4

b)

(x + 2)²+(y + 1)²=16

c)

(x + 2)² + (y - 1)² = 4

d)

(x + 2)²+(y - 1)²=16

2.

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

a)

(x – 9)² + (y + 4)² = 25

b)

(x + 4)² + (y – 9)² = 25

c)

(x – 9)² + (y + 4)² = 100

d)

(x + 4)² + (y – 9)² = 100

3.

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

a)

(1, 1)

b)

(0, 0)

c)

not enough information

4.

Which graph corresponds to
(x-8)²+ (y+2)²=

a)

A

b)

B

c)

C

d)

D

5.

Which of the following equations represents a circle with a center at (0, 0) and a radius of 10?

a)

$x^2 + y^2 = 100$

b)

$x^2 + y^2 = 10$

c)

$(x - 10)^2 + (y - 10)^2 = 100$

d)

$(x + 10)^2 + (y + 10)^2 = 100$

6.

Match each equation to its description.

a)

(x – 1)² + (y + 4)² = 9

1.

Circle centered at (1, -4) and radius 3

b)

x² + (y + 4)² = 9

2.

Circle centered at (0, -4) and radius 3

c)

(x – 1)² + y² = 9

3.

Circle centered at (1, 0) and radius 3

d)

(x – 1)² + (y – 4)² = 3

4.

Circle centered at (1, 4) and radius √3

e)

(x – 1)² + (y + 4)² = 3

5.

Circle centered at (1, -4) and radius √3

7.

What is the equation of a circle with radius 11 and center (-2,9)?

8.

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

9.

Match each equation to its description.

a)

(x – 1)² + (y + 4)² = 9

1.

Circle centered at (1, -4) and radius 3

b)

x² + (y + 4)² = 9

2.

Circle centered at (0, -4) and radius 3

c)

(x – 1)² + y² = 9

3.

Circle centered at (1, 0) and radius 3

d)

(x – 1)² + (y – 4)² = 3

4.

Circle centered at (1, 4) and radius √3

e)

(x – 1)² + (y + 4)² = 3

5.

Circle centered at (1, -4) and radius √3

10.

Match the following

a)

$\left(x-4\right)^2+y^2=16$

1.

radius = 4

b)

$x^2+y^2=4$

2.

center = (0,0)

c)

$x^{2\ }-\left(y-4\right)^{2\ }=2$

3.

Not a circle

11.

Determine the equation of the circle with :

center (−6 , −2 ) containing the point ( 3, −6 ).

12.

Directions: Drag the answers to the correct boxes. Given: Circle K with diameter $\overline{CD}$ where C (-7, -4) and D (1, 2). Create the equation circle.

(a) (b) (c) (d) (e)

Choose from the below words

$\left(x+3\right)^2$

+

$\left(y+1\right)^2$

=

25

\left(x-3\right)^2

\left(y-1\right)^2

100

\sqrt[]{25}

10

13.

What is the equation for the following circle?

a)

x² + (y + 3)² = 1²

b)

(x - 4)² + (y - 1)² = 5²

c)

(x - 4)² + (y - 1)² = 2²

d)

(x - 4)² + (y - 1)² = 3²

14.

See Picture

a)

A

b)

B

c)

C

15.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

16.

Which is the correct graph?

a)

A

b)

B

c)

C

d)

D

17.

What would the graph of the circle (x + 1)² + (y – 2)² = 9 look like?

a)

Diagram A

b)

Diagram B

c)

Diagram D

d)

Diagram E

18.

Find the diameter of the circle.

a)

5 units

b)

4 units

c)

12.2 units

d)

7.5 units

19.

Is this statement right?

The blue line = circumference.

a)

Yes

b)

No

20.

Using the diagram above to identify the diameter of the circle.

a)

81 units

b)

13.5 units

c)

10.1 units

d)

101.3units

21.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

22.

The radius of a circle is

a)

The measurement from the center of a circle to an edge of the circle.

b)

The measurement around the circle

c)

The measurement from and edge of the circle to another edge through the center

d)

A line perpendicular to the diameter of the circle

23.

If the diameter of a circle is 4, what is the radius?

a)

4

b)

2π

c)

4π

d)

2

24.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

25.

Find the circumference of the circle in the image.

a)

10π

b)

20π

c)

100π

d)

20

26.

What is the circumference of a circle with a diameter of 40 in?

a)

125.6 in

b)

35.17 in

c)

28.67 in

d)

47.17 in

27.

The distance across a circle through the center is called the_______________.

a)

radius

b)

circumference

c)

diameter

d)

area

28.

What is the formula for finding the area of a circle?

a)

b)

29.

What is the area of the circle in the image?

a)

10

b)

20π

c)

100

d)

100π

30.

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

a)

28 cm

b)

43.96 cm

c)

87.96 cm

d)

7 cm

31.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = π15

b)

C = 2π15

c)

c = 15 ÷ π

d)

c = 15 π²

32.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

33.

What is the name of the circle?

a)

DE

b)

C

c)

A

d)

triangle

34.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.

a)

4 in.

b)

8 in.

c)

12 in.

d)

16 in.

35.

Find the area of the shaded reagion.

a)

$42.25\Pi-30\ in^2$

b)

$12.25\Pi\ in^2$

c)

$42.25\Pi\ -\ 60\ \ in^2$

36.

Find the radius of a circle with a circumference of $10\pi$ .

37.

What is the area of this semicircle? (The dimension shown is 8 cm)

a)

100.54 cm²

b)

25.14 cm²

c)

201.07 cm²

d)

50.27 cm²

38.

The courtyard outside East Middle School is in the shape of a rectangle and half-circle. What is the circumference of the courtyard?

a)

328.5 meters

b)

407 meters

c)

500 meters

d)

7,850 meters

39.

a)

122.46 mi²

b)

122. 45 mi²

c)

175.84 mi²

d)

175.85 mi²

40.

a)

372.12 km²

b)

372.11 km²

c)

744.24 km²

d)

744.23 km²

41.

a)

130cm²

b)

115 cm²

c)

70 cm²

d)

85 cm²

42.

a)

53.43

b)

15.76

c)

21

d)

140

43.

What is the Area of this entire composite figure?

a)

8.28 in^2

b)

16.56 in^2

c)

5.57 in^2

d)

7.14 in^2

44.

What is the equation of a line with a zero slope that goes through the point
(6, 7) ?

a)

x = 6

b)

x = 7

c)

y = 6

d)

y = 7

45.

What is the equation of a line with an undefined slope that goes through point
(-3,5)?

a)

x = -3

b)

x = 5

c)

y = -3

d)

y = 5

Equations of circles and such.

Total questions: 45

Worksheet time: 2hrs 3mins

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