Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter 11 Test Review
1. The circumference of a circle is 19 centimeters.
Find the diameter of this circle.
9. Find the area of
Y.
2. Circle A has a diameter of 47 inches. What is the
circumference of circle A?
3. Find the diameter of
Q if ∠PQR measures 35°
and the arc length of PR is 13 centimeters.
10. Find the area of the kite.
4. Two identical gears with a 9 centimeter radius are
to be connected by a chain. The distance between
the centers of the two gears is 67 centimeters. What
length of chain is required to wrap around both
gears and form a complete loop?
11. A typical stop sign is in the shape of a regular
octagon. The length of a side of a stop sign is 31.6
centimeters, and the radius is 41.3 centimeters.
Calculate the area of the stop sign to the nearest
square centimeter.
5. Convert 27° to radians.
6. Convert
5π
radians into degrees.
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7. Calculate the area of a circle with a diameter of 4.6
centimeters.
12. You need to create a hole 24.5 inches deep for a
post that is in the shape of a cylinder with a radius
of 4.3 inches. You will be using a drill bit that
rotates around a vertical axis, positioned such that
the axis is attached to the side of a rotating
polygon. What characteristics should the drill bit
have to create the desired shape?
8. Find the diameter of a circle with an area of 27.3
square centimeters.
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15. Cylinder X and Cylinder Y are similar. The volume
of Cylinder Y is 114 cm3 . Find the volume of
Cylinder X.
Find the volume of the cylinder.
13.
14. A custom fish tank shaped like a rectangular prism
needs to have a length of 15 inches, a width of 20
inches and hold a volume of 3651 cubic inches.
What height must the tank be made to meet these
specifications?
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18. Pyramid C and Pyramid D are similar. The volume
of Pyramid C is 96 square centimeters. Find the
volume of Pyramid D.
Find the volume of the pyramid.
16.
17. Find the height of the triangular pyramid when the
volume is 237 square centimeters.
19. Find the volume of the composite solid.
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22. Find the volume of the composite solid.
Find the surface area of the cone.
20.
Find the surface area of the sphere.
Find the volume of the cone.
23.
21.
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27.
24.
28.
Tell whether the solid is a polyhedron.
25.
29.
26.
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Match the description of the part of the circle below with its value.
a. about 51.11 m2
e. about 25.56 m
b. about 3.48 m
f. about 93.11 m2
c. about 16.55 m
g. about 10.93 m2
d. about 186.21 m
h. about 6.05 m
30. Area of a sector with a radius of 16.7 meters and a
central angle of 21°
34. Circumference of a circle with an area of 52 square
meters
31. Radius of a circle with an area of 38 square meters
35. A Ferris wheel is 470 feet in diameter. How far
will a person riding on the Ferris wheel have
traveled (in miles) when the wheel makes 44
revolutions? (1 mi = 5280 ft)
32. Radius of a circle with a sector area of 55 square
meters and a central angle of 23°
33. Diameter of a circle with an arc length of 39 meters
and a central angle of 24°
Match the description of the sphere below with its correct value.
a. about 381.70 m3
e. about 7.69 m
b. about 10.17 m
f. about 50.27 m
c. about 4.46 m
g. about 25.50 m
d. about 3.73 m
h. about 615.75 m2
36. radius of a sphere with a circumference of 28
meters
37. surface area of a sphere with a radius of 7 meters
38. volume of a sphere with a diameter of 9 meters
39. diameter of a sphere with a surface area of 325
square meters
40. diameter of a sphere with a volume of 238 cubic
meters
41. circumference of a sphere with a volume of 280
cubic meters
42. circumference of a sphere with a radius of 8 meters
43. radius of a sphere with a surface area of 175 square
meters
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