Free Printable Test Review: Equations, Angles, Sectors of Circles

1.

Given the measurements in the diagram, find the total area of the shaded regions.

a)

10.47 cm²

b)

17.45 cm²

c)

26.18 cm²

d)

8.33 cm²

2.

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

a)

10

b)

3

c)

5

d)

25

3.

Select the graph of the circle: $\left(x-3\right)^2+y^2=4$

a)

b)

c)

d)

4.

Choose the equation that represents the circle with center (5, 9) and goes through (2, 9)

a)

(x+5)²+(y+9)²=3

b)

(x-5)²+(y-9)²=3

c)

(x+5)²+(y+9)²=9

d)

(x-5)²+(y-9)²=9

5.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

6.

Solve for x?

a)

15

b)

23

c)

2

d)

92

7.

Solve for x.

a)

10°

b)

20°

c)

30°

d)

40°

8.

In the equation

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

a)

(3,2)

b)

(-2, -3)

c)

(-3, -2)

d)

(2, 3)

9.

What is the center and radius for a circle with the equation:

(x - 4)²+ (y + 2)²= 169

a)

C:(4, -2), r=13

b)

C:(4, -2), r=169

c)

C:(-4, 2), r=13

d)

C:(-4, 2), r=169

10.

Find the area of sector with diameter

$24\ in$ and angle $27\degree$

a)

$52.81\ in^2$

b)

$47.71\ in^2$

c)

$33.93\ in^2$

d)

$28.40\ in^2$

11.

Find m∠DAR.

a)

34⁰

b)

17⁰

c)

68⁰

d)

136⁰

12.

Find m∠X.

a)

35⁰

b)

55⁰

c)

25⁰

d)

40⁰

13.

Find x.

a)

1

b)

12

c)

5

d)

14

14.

Given circle P, m $\angle$ RPT = 130°, and PT = 18 cm.
Solve for area of the shaded sector.

a)

117.94 cm²

b)

650.31 cm²

c)

324. 68 cm²

d)

210.81 cm²

15.

Would you buy TWO 12 inch medium pizzas or ONE 18 inch large pizza to get the most Pizza? How much more pizza would you get. (Use 3.14 for pi)

a)

I would get $28.26\ in^2$ more if I buy the large pizza

b)

I would get $254.34\ in^2$ more if I buy the large pizza

c)

I would get $226.08\ in^2$ more if I buy the two medium pizzas

d)

I would get $113.04\ in^2$ more if I buy the two medium pizzas

16.

A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?

a)

$16.21\ in^2$

b)

$19.24\ in^2$

c)

$26.43\ in^2$

d)

$38.48\ in^2$

17.

Chelsea is baking pies for a fundraiser at her school. She divides each 9-inch pie into 6 equal slices.

If each slice cost $0.25 to make and she sells 8 pies at $1.25 for each slice, how much money will she raise

a)

$12

b)

$24

c)

$48

d)

$60

18.

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

19.

Find the area of the sector, rounding your answer to the tenths using $\pi$ in your calculations.

a)

15.4m²

b)

15.3m²

c)

15.5m²

d)

15.6cm²

20.

Find the area of the outlined sector, rounding your answer to the tenths using $\pi$ in your calculations.

a)

215.9cm²

b)

216.0cm²

c)

490.8cm²

d)

490.9cm²

Test Review: Equations, Angles, Sectors of Circles

Total questions: 20

Worksheet time: 43mins

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