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11.1-11.2 Review This is also posted online with solutions on the last slide!. 1. What is the sum of the interior angles of an octagon?. 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?.
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11.1-11.2 Review This is also posted online with solutions on the last slide!
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. What type of polygon is it?
6. In a decagon, the sum of its interior angles is (20x + 2y)o and the sum of its exterior angles is (-6x + 3y)o. Solve for x and y.
7. In a regular dodecagon, each interior angle measures (3x2 – 41x)o. Solve for x.
8. Solve for x. (x2)o (10x+ 20)o 140o 150o (8x)o 130o
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 has a radius of 6 mm. Find its area.
14. a) A regular 20-gon has an area of 150 ft2. Find its apothem. b) A regular 20-gon has a perimeter of 100 ft. Find its apothem.
15. An equilateral triangle has a radius of 5 in. Find its area in exact, simplest form.
16. A regular hexagon has an apothem of 4 m. Find its perimeter in exact, simplest form.
Solutions 1080o 360o 162o 72o Hexagon x = 50, y = 220 x = 50/3, -3 x = 10 x = 11/2, 6 294 cm2 13.1 in2 108 mm2 98 ft2 a) 3 ft b) 15.8 ft in2 16 m