Free Printable Test: Equations, Angles, Sectors of Circles

1.

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

a)

16

b)

32

c)

8

d)

4

2.

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

3.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-4)

b)

(-2,4)

c)

(-2,-4)

d)

(2,4)

4.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

5.

Find the equation of the circle with center (7, -2) and passes through the point (-1, -6)

a)

(x+7)²+(y-2)²=80

b)

(x-7)²+(y+2)²=80

c)

(x+7)²+(y-2)²= $\sqrt[]{80}$

d)

(x-7)²+(y+2)²= $\sqrt[]{80}$

6.

Find the area of sector with radius

$10\ cm$ and angle $90\degree$

a)

$78.5\ cm^2$

b)

$15.7\ cm^2$

c)

$12.5\ cm^2$

d)

$7.85\ cm^2$

7.

Find the area of the sector. Leave answer in terms of $\pi$ .

a)

$10\pi\ cm$

b)

$150\pi\ cm$

c)

$5\pi\ cm$

d)

$75\pi\ cm$

8.

Gavin ordered a pizza that has a diameter of 9 inches. If Gavin ate a quarter of the pizza, how many square inches of the pizza did he eat? Use 3.14 = π. Round the nearest hundredth.

a)

63.59 in²

b)

14.13 in²

c)

15.90 in²

d)

7.07 in²

9.

Find the area of the shaded sector. Leave answer in terms of $\pi$

a)

$7.5\pi\ units^2$

b)

$5\pi\ units^2$

c)

$3\ \pi\ units^2$

d)

$1.5\ \pi\ units^2$

10.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

11.

Find the m∠2.

a)

80⁰

b)

45⁰

c)

125⁰

d)

40⁰

12.

Find the measure of arc SR

a)

70⁰

b)

35⁰

c)

110⁰

d)

55⁰

13.

Find x.

a)

84⁰

b)

42⁰

c)

21⁰

d)

168⁰

14.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

15.

What is the measure of angle DEF?

a)

72°

b)

144º

c)

36º

d)

48º

16.

Solve for x.

a)

x = 35.67

b)

x = 26

c)

x = 14

d)

x = 17.33

17.

Solve for x.

a)

42.5

b)

20

c)

22.5

d)

85

18.

What is the equation of the circle?

a)

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

b)

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

c)

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

d)

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

19.

What is the area of the shaded sector? Use 3.14 = pi

and round your answer to the nearest hundredth.

a)

55.82

b)

139.56

c)

27.91

d)

558.22

20.

Find the area of the shaded sector. Use 3.14 = pi and round to the nearest hundredth.

a)

16.49 units ²

b)

24.73 units²

c)

14.13 units²

d)

98.91 units²

Test: Equations, Angles, Sectors of Circles

Total questions: 20

Worksheet time: 1hrs 15mins

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