Name : Period: 11.1 Chapter 11 Review In Exercises 1 and 2, find the indicated measure. 1. exact diameter of a circle with a circumference of 6 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 1 and 14, convert the angle measure. 1. 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. radius of a circle with an area of 6.7 square kilometers 4. diameter of a circle with an area of 1040.62 square yards 75
In Exercises 7 10, find the areas of the sectors formed by 7. 8. JLK. 11. Find the radius of H. 12. Find the radius of M. In Exercises 1 15, find the area of the shaded region. 1. 14. 15. 11. In Exercises 1 4, find the area of the kite or rhombus. 1. 2.. 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 76
In Exercises 1 17, find the area of the regular polygon. 1. 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. 11.4 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. In Exercises 1, tell whether the solid is a polyhedron. If it is, name the polyhedron. 1. 2.. 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. 8. 9. 75
11.5 In Exercises 1 and 2, find the volume of the prism. 1. 2. In Exercises and 4, find the volume of the cylinder.. 4. In Exercises 6 and 7, find the missing dimension. 6. Volume 240 m 7. Volume 1244 in. 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, h 8 ft 9. V 144 cm, 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, find the volume of the pyramid. 1. 2.. 76
In Exercises 4 6, find the indicated measure. 4. A pyramid with a square base has a volume of 20 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 and 4, find the volume of the cone.. 4. 75
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, find the surface area of the sphere. 1. 2.. In Exercises 4 and 5, find the indicated measure. 4. the radius of a sphere with a surface area of 6 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. 2 2 9. Surface Area 4 in. 10. Surface Area 676 km In Exercises 11 and 12, find the volume of the composite solid. 11. 12. 76