WorksheetsCh. 8 Review- Polygons & Circles
Total questions: 25
Worksheet time: 13mins
What is the area of the circle above?
72 = 49
14𝛑 = 43.96
49𝛑 = 153.86
7𝛑 = 21.98
What is the circumference of the circle above?
14
7𝛑 = 21.98
49𝛑 = 153.86
14𝛑 = 43.96
#1a The circle above has a radius of 9 cm and the shaded slice has a central angle of 30°. What is the arc length of the shaded slice? (Leave your answer in π form.)
3𝛑/2
27𝛑/4
12
18𝛑
#1b The circle above has a radius of 9 cm and the shaded slice has a central angle of 30°. What is the area of the shaded slice? (Leave your answer in π form.)
3𝛑/2
27𝛑/4
27𝛑
81𝛑
#2 What is the measure of each interior angle of a regular dodecagon (n = 12 sides)?
m∠x = 150°
m∠x = 180°
m∠x = 30°
m∠x = 360°
#3a Find the measure of one exterior (outside) angle for the regular mystery polygon above.
m ∠ a = 180°
m ∠ a = 360°
m ∠ a = 40°
m ∠ a = 9°
#3a Find the number of sides for the regular mystery polygon above.
n = 9
n = 40
n = 8
n = 6
#3b Find the measure of one exterior (outside) angle for the regular mystery polygon above.
m∠a = 15°
m∠a = 180°
m∠a = 24°
m∠a = 360°
#3b Find the number of sides for the regular mystery polygon above.
n = 24
n = 15
n = 8
n = 6
#4 What is the measure of the central angle, 𝜃, in shaded triangle above?
𝜃 = 180°
𝜃 = 60°
𝜃 = 18°
𝜃 = 36°
#4 What is the measure of the top angle in the shaded triangle above?
72°
60°
30°
18°
#4 Solve for the height of the shaded triangle above.
h = 8 cm
h = 12.3 cm
h = 1.3 cm
h = 3 cm
#4 What is the area of the regular decagon (n = 10) above?
492 cm2
12.3 cm2
49.2 cm2
984 cm2
#5a
(10/3)2 = 100/9
10/3 = 0.3
√(10/3) = 0.54
7
#5b
36/25 = 1.44
√(36/25) = 6/5 = 1.2
(36/25)2 = 2.07
11
#6 Given the areas of the two similar figures above, solve for the scale factor. Assume the small heart is the original shape.
scale factor = 25
scale factor = 100
scale factor = 10
scale factor = 5
#7 Given that the two shapes above are similar, find the area of the smaller shape.
Area of small shape = 3
Area of small shape = 75/3 = 25
Area of small shape = 75/9 = 8.3
Area of small shape = 45
#8a . Solve for the missing sides of the triangle above.
x = 6 and y = 12
x = 6√3 (√3) = 18 and y = 36
x = 12 and y = 6
x = 3√3 and y = 6√3
#7b Solve for the missing side of the triangle above.
x = 0.04
x = 11.89
x = 10.71
x = 23.91
#7c Solve for the missing side of the triangle above.
x = 0.07
x = 6.1
x = 14.72
x = 27.7
#9a Why are the two triangles above similar?
SAS
SSS
They're both right triangles.
AA~ (the are both 45-45-90 triangles)
#9b What the the lengths of x & y in the triangle above?
x = 6 and y = x
x = 6√2 and y = 12√2
x = 6√2 = 8.5 and y = x
x = 12√3 and y = 6√3
#9c What is the length of side u in the triangle above?
u = 3√3 = 5.2
u = 3√2 = 4.24
u = 6
u = 3 ÷ √2 = 2.12
What is the area of the triangle above?
12 cm2
6 cm2
24 cm2
1 cm2
What is the height, b, AND the area of the equilateral triangle above?
b = 4√3 and area = 16 cm2
b = 8 and area = 16 cm2
b = 4√3 and area = 13.86 cm2
b = 4√3 and area = 27.71 cm2
