Free Printable Chapter 9: Circles

1.

The diameter of a circle is 7.5. Find the circumference to the nearest tenth.

a)

47.1

b)

16.8

c)

23.6

d)

35.4

2.

In circle C, line AB is a _________.

a)

circumference

b)

diameter

c)

radius

d)

center

3.

The diameter of a circle is 8. What is the radius?

a)

$32\pi$

b)

12 $\pi$

c)

16

d)

4

4.

In circle I, if arc DG = 132, find angle DGI.

a)

48

b)

24

c)

57

d)

114

5.

In circle A, arc XY is a _______.

a)

major arc

b)

circumference

c)

minor arc

d)

chord

6.

In circle O,

m\angle MON\ =\ 25.

Find arc LN.

a)

90

b)

115

c)

25

d)

65

7.

In the figures, circle T is congruent to circle F and arc RS is congruent to arc DE. Find line DE.

a)

64

b)

48

c)

80

d)

16

8.

In circle L, arc OMN = 116. Find arc MN.

a)

9

b)

58

c)

29

d)

18

9.

In circle C. Line AB is a diameter. Find the value of x.

a)

4

b)

9

c)

22

d)

5

10.

If arc BC = 70, find angle BAC.

a)

70

b)

35

c)

290

d)

90

11.

Find the value of y.

a)

97

b)

87

c)

7

d)

83

12.

In circle H, angle GJI = 90 and GI = 15. Find HK and angle GKI.

a)

15; 180

b)

15; 90

c)

7.5; 180

d)

7.5; 90

13.

In the figure, the segment is ______ to the circle.

a)

supplementary

b)

tangent

c)

inscribed

d)

interior

14.

Refer to circle C. Find the value of x.

a)

$3\sqrt{21}$

b)

13

c)

$3\sqrt{13}$

d)

$3\sqrt{5}$

15.

In circle W with tangent XY, WX = 2 and XY = $2\sqrt{3}$ . Find angle W.

a)

45

b)

90

c)

60

d)

30

16.

In the figure, ray BC is tangent to the circle. If arc AB = 140, find angle ABC.

a)

140

b)

220

c)

70

d)

40

17.

Find angle 1.

a)

105

b)

100

c)

80

d)

25

18.

Find the value of x.

a)

180

b)

45

c)

8

d)

30.5

19.

Which is an equation of the circle with center at (7, -3) that passes through (10, 1)?

a)

$\left(x-10\right)^2+\left(y-1\right)^2=25$

b)

$\left(x+7\right)^2+\left(y-3\right)^2=25$

c)

$\left(x-7\right)^2+\left(y+3\right)^2=25$

d)

$\left(x-7\right)^2+\left(y+3\right)^2=5$

20.

Which are the coordinates of the center of the circle with equation $x^2+y^2-6x+4y=-9?$

a)

(-3, -2)

b)

(3, -2)

c)

(3, 2)

d)

(-3, 2)

21.

What is the measure of the radius of the circle with equation $x^2+y^2+8x+30y=-192$ ?

a)

$\sqrt{772}$

b)

49

c)

14

d)

7

22.

The vertex of the parabola y² = 4x is translated 3 units right and 6 units down. What is the equation of the new parabola?

a)

(y + 6)² = 4(x – 3)

b)

(y – 6)² = 4(x + 3)

c)

(x + 6)² = 4(y – 3)

d)

(x – 6)² = 4(y + 3)

23.

What are the coordinates of the focus and the equation of the directrix of the parabola $x-2=-\frac{1}{20}\left(y+3\right)^2$ ?

a)

The focus is (–3, –3) and the directrix is y = –3.

b)

The focus is (7, –3) and the directrix is y = –3.

c)

The focus is (–3, –3) and the directrix is x = 7.

d)

The focus is (7, –3) and the directrix is x = 7.

24.

What is the equation of a parabola with vertex at (–3, 5) and focus at (–1, 5)?

a)

$y+3=\frac{1}{8}\left(x-5\right)^2$

b)

$y-3=-\frac{1}{8}\left(x+5\right)^2$

c)

$x+3=\frac{1}{8}\left(y-5\right)^2$

d)

$x-3=-\frac{1}{8}\left(y+5\right)^2$

Chapter 9: Circles

Total questions: 24

Worksheet time: 24mins

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