Geometry Chapter 11 Test Review (50% of Test Grade) 1. The sum of the measures of the interior angles of a convex quadrilateral is _____. 8. The ratio of the side lengths of two regular hexagons is 4 to 9. If the area of the smaller hexagon is 16 square units, then the area of the larger hexagon is _____. 2. The measure of each interior angle of a regular hexagon is ________. 3. The measure of each exterior angle of a regular octagon is 9. If a circle has a radius of 6 inches, what is the circumference rounded to the nearest whole number? Use p » 314 . .
______. 10. Find the length of a 40° arc in a circle with a radius of 4. 4. Find the area of an equilateral triangle with side 10. 11. Rachel ran 7 times around a circular track that has a diameter of 43 meters. Which is the best approximation of the distance she ran? Use p » 3 .
5. Find the area of a regular dodecagon with radius 9 cm. Round to the nearest tenth. 12. Find the area: 6. The area of a regular octagon is 25 cm 2 . What is the area of a 1.9 m regular octagon with sides six times as large as the sides of the first octagon? 7. A regular hexagon has an apothem of 2 and a side length of 4 3
. Its area is _____. 3 13. In this figure, each circle has a radius of 2 inches. What is the area of the portion outside the circles but inside the square? Express your answer in terms of p . 12 in.
Geometry Chapter 11 Test Review (50% of Test Grade) 20. Quadrilaterals ABCD and A B C D ¢ ¢ ¢ ¢ are similar with 14. Find the area of the shaded region. AB 5 = . If the area of ABCD is 115 square units, what is the A ¢ B ¢ 2 area of A B C D ¢ ¢ ¢ ¢ ? 40° 6 cm 15. Find the sum of the measures of the interior angles of a pentagon. 21. Rachel needs to make a poster that is 1 m by 4 m for the big game. The cost of the paper is $5.00. Later she needs another poster with dimensions 0.5 m by 2 m. What is the paper for this poster likely to cost? 16. Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 21,240°. 22. For a circle of radius 3 feet, find the arc length of a central angle of 24 ° . Leave your answer in terms of p . 17. An equilateral triangle has a side length of 2 3 . Find its area. 23. The distance around the equator of Neptune is about 154,566 km. To the nearest kilometer, what is the equatorial diameter of Neptune? Use p = 314 . . 18. Find the area of a regular dodecagon with radius 8 cm. 24. Find the area of the shaded region. 19. The figures are similar. Find the missing values. 60° 12 P = 270 P = ? 10 A = ? 30 A = 500 25. Given: m AB = 100 ° , a = 5.14, r = 8.00Find the area of the shaded region to two decimal places.