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11.1-11.2 Review The answers are on the last slide to check when you’re done. 1. What is the sum of the interior angles of a nonagon? 2. What is the sum of the exterior angles of a 32-gon? 3. What is the measure of one interior angle of a regular 20-gon? 4. What is the measure of one exterior angle of a regular pentagon? 5. The measure of one interior angle of a regular polygon is 120o. How many sides does it have? 6. The measure of one exterior angle of a regular polygon is 45o. How many sides does it have? 7. The sum of the interior angles of a polygon is 2700o. How many sides does it have? 8. Solve for x. (x2)o (10x + 20)o 140o (8x)o 150o 130o 9. Solve for x. 10. A regular hexagon has a radius of 14 cm. Find its area. Keep your answer in exact, simplest form. 11. A regular nonagon has an apothem of 2 in. Find its area. Round to the nearest tenth at the end. 12. A regular dodecagon (12 sides) has a radius of 6 mm. Find its area. 13. A regular hexagon has a side of 8 cm. Find its area. Keep your answer in exact, simplest form. 14. A regular 20-gon has an area of 150 ft2. Each side is 5 ft. Find its apothem. 15. A regular hexagon has an apothem of 6 in. Find its radius in exact, simplest form. 1. 2. 3. 4. 5. 6. 7. 8. 1260o 360o 162o 72o 6 sides 8 sides 17 sides x = 10 9. x = 6 10. 293 3 cm2 11. 13.1 in2 12. 108 mm2 13. 96 3 cm2 14. 30 ft 15. 4 3 in