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Chapter 11 Review
11.1
In Exercises 1 and 2, find the indicated measure.
1. exact diameter of a circle with a circumference of 36 meters
2. exact circumference of a circle with a radius of 5.4 feet
In Exercises 4–9, use the diagram of circle D with EDF  FDG to find the
indicated measure.
4. mEFG
5. mEHG
6. arc length of EFG
7. arc length of EHG
8. measure of arc EHF in degrees
9. arc length of FEG
In Exercises 10–12, find the indicated measure.
10. measure of arc AB in degrees 11. circumference of circle F
12.
radius of circle J
In Exercises 13 and 14, convert the angle measure.
13. Convert 105 to radians.
14. Convert
5
radians to degrees.
6
11.2
In Exercises 1–4, find the indicated measure.
1. area of a circle with a radius of 6.75 inches
3. radius of a circle with an area of 63.7 square kilometers
4. diameter of a circle with an area of 1040.62 square yards
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In Exercises 7–10, find the areas of the sectors formed by JLK.
7.
8.
11. Find the radius of
H.
12. Find the radius of
M.
In Exercises 13–15, find the area of the shaded region.
13.
14.
15.
11.3
In Exercises 1–4, find the area of the kite or rhombus.
1.
2.
3.
4.
In Exercises 5–8, find the measure of a central angle of a regular polygon with the
given number of sides. Round answers to the nearest tenth of a degree, if
necessary.
5. 9 sides
6. 16 sides
In Exercises 9–12, find the given angle measure
for regular hexagon ABCDEF.
9. mCGD
10. mCGH
11. mHCG
12. mEGC
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In Exercises 13–17, find the area of the regular polygon.
13.
14.
15.
16. a pentagon with an apothem of 7 centimeters
17. a decagon with a radius of 20 meters
18. Use the figure of the gazebo floor.
a. An arm rail is built around the perimeter of the
gazebo. What is the length of the arm rail?
b. A container of wood sealer covers 200 square feet.
How many containers of sealer do you need to
cover the entire floor of the gazebo? Explain
your reasoning.
11.4
In Exercises 1–3, tell whether the solid is a polyhedron. If it is, name the
polyhedron.
1.
2.
3.
In Exercises 4–6, describe the cross section formed by the intersection of the
plane and the solid.
4.
5.
6.
In Exercises 7–9, sketch the solid produced by rotating the figure around the
given axis. Then identify and describe the solid.
7.
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8.
9.
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11.5
In Exercises 1 and 2, find the volume of the prism.
1.
2.
In Exercises 3 and 4, find the volume of the cylinder.
3.
4.
In Exercises 6 and 7, find the missing dimension.
6. Volume  240 m3
7. Volume  1244 in.3
In Exercises 8 and 9, find the area of the base of the rectangular prism with the
given volume and height. Then give a possible length and width.
8. V  96 ft 3 , h  8 ft
9. V  144 cm3 , h  6 cm
10. The prisms are similar. Find the volume
11. Find the volume of
of Prism B.
the composite solid.
11.6
In Exercises 1–3, find the volume of the pyramid.
1.
2.
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3.
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In Exercises 4–6, find the indicated measure.
4. A pyramid with a square base has a volume of 320 cubic centimeters and a
height of 15 centimeters. Find the side length of the square base.
5. A pyramid with a rectangular base has a volume of 60 cubic feet and a height
of 6 feet. The width of the rectangular base is 4 feet. Find the length of the
rectangular base.
6. A pyramid with a triangular base has a volume of 80 cubic meters and a base
area of 20 square meters. Find the height of the pyramid.
In Exercises 7 and 8, the pyramids are similar. Find the volume of Pyramid B.
7.
8.
In Exercises 9–11, find the volume of the composite solid.
9.
10.
11.
11.7
In Exercises 1 and 2, find the surface area of the right cone.
1.
2.
In Exercises 3 and 4, find the volume of the cone.
3.
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In Exercises 5 and 6, the cones are similar. Find the volume of Cone B.
5.
6.
In Exercises 7 and 8, find the volume of the composite solid.
7.
11.8
In Exercises 1–3, find the surface area of the sphere.
1.
2.
3.
In Exercises 4 and 5, find the indicated measure.
4. the radius of a sphere with a surface area of 36 square meters
5. the diameter of a sphere with a surface area of 81 square yards
In Exercises 6–8, find the volume of the sphere.
6.
7.
8.
In Exercises 9 and 10, find the volume of the sphere with the given surface area.
9. Surface Area  4 in.2
10. Surface Area  676 km2
In Exercises 11 and 12, find the volume of the composite solid.
11.
12.
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