Learner Action Plan Name ___________________________ 1) Why did you struggle on this test? Check all the boxes that apply. School sports, clubs, or activities Job/work requirements Difficulty with material/lack of understanding Procrastination Heavy course load Social event(s) Other Explain the boxes you checked in more detail: 2) What intervention/support is required for you to be successful on the retake exam? Check all boxes that apply. Extra study/home-based effort Extra help from teacher Extra Assignment Review Quizzes Other Extra help from tutor Test/Quiz Corrections Explain the boxes you checked in more detail: 3) Finish any incomplete assignments and staple them to this paper. If you show up to the retake exam without these assignments completed, then you will not be allowed to retake. 4) Complete the Retake Review on a separate sheet of paper and staple it to this paper – Show all work. You should also review your notes, quizzes, and homework assignments to be fully prepared for the retake. Get extra help if you need it. If you show up to the retake exam without this review completed, then you will not be allowed to retake. 5) What day will you retake the test? ________________ Before or After School? _______________ Make sure you are on time to your retake. If you do not finish the retake within the allotted 45 minutes, then you will not be given extra time. Chapter 11 Retake 1. A regular pentagon has five congruent interior angles. What is the measure of each angle? 2. An octagon has eight sides of varying lengths. What is the sum of the measures of its interior angles? 3. Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 5040°. 4. Find the number of sides of a regular polygon with each interior angle equal to 150. 5. Find the measure of an interior angle and an exterior angle of a regular polygon with 5 sides. 6. Find the area of an equilateral triangle with a side length of 12. 7. An equilateral triangle has a side length of 2 3 . Find its area. 8. Find the area of an equilateral triangle with a perimeter of 18. 9. Find the area of a regular decagon with side 6 cm. 10. Find the area of a regular nonagon with radius 6. 11. The base of a gazebo is a regular 20-gon with 6 foot sides. Find its apothem, a, to the nearest tenth. 12. The figures are similar. Find the missing values. P = 144 P=? 6 A=? 16 A = 180 13. Two similar trapezoids have areas 225 cm2 and 100 cm2. Find the ratio of their perimeters. 14. 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 __. 15. ABC and A B C are similar triangles with 16. 17. 18. 19. 20. A B 5 . If the AB 4 area of ABC is 80 square units, find the area of A B C . Find the circumference of a circle with radius 9 cm. If a circle has a radius of 8 inches, what is the circumference rounded to the nearest whole number? Find the radius of a circle with a circumference of 44 m. For a circle of radius 8 feet, find the arc length of a central angle of 60 . Answer in terms of . The circumference of a circle is 84 cm. Find the diameter, the radius, and the length of an arc of 50. AB 21. Circle O has a radius of 7.39. If m AOB is 112°, then find the length of to one decimal place. 31. If a point is selected at random, what is the probability that it will lie within the shaded rectangular region rather than the unshaded rectangular region? 14 3 8 8 22. The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how far does the automobile move? (Round the result to the nearest tenth 32. Half of a circle is inside a square and half is outside, as of a foot.) shown. If a point is selected at random inside the square, 23. A vehicle travels 125.7 feet while its wheels revolve 16 find the probability that the point is also inside the circle. times. Find the diameter of the wheels to the nearest inch. 24. Neil watched a bug crawl through an arc of 60 along the rim of his melon, which was cut in half. If the radius r of the melon was 7 inches, how far did the bug crawl? 25. Find the area of the circle with radius 15 cm. 26. Find the area of the shaded region. 2r 33. The radius of the circle is 2 . The distance from the center to the chord is 1. If the measure of AB is 90°, the area of the shaded region is _____. 40 4 cm 27. A round pizza, with diameter 50 cm, is cut into 15 equal sectors. A square pizza, with side length 53 cm, is cut into 25 equal squares. Which pizza slice, sector or square, has the greatest area? How much greater is it, to the nearest tenth of a square centimeter? 28. 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 . [3] 30 [4] 12 [5] interior angle: 108 ; exterior angle: 72 36 3 sq. units [7] 3 3 sq. units [6] [8] 9 3 sq. units [9] 277.0 cm2 [12] A = 1280, P = 54 [15] 125 sq. units [18] 7 m 12 in. 29. The figure to the right represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Answer Key [1] 108 [2] 1080 2.1 m [10] 104.1 [13] 3 : 2 [16] 56.52 cm 8 feet [19] 3 [20] d=84cm; r=42cm; arc length= 4.2 m [11] 18.9 ft [14] 81 sq. units [17] 50 in. 35 cm 3 [21] 14.4 units [22] 57.6ft (you get 691.2in, but you must convert to feet) [23] 30 in (you get 2.5ft, but you must convert to inches) [24] 7.33 inches [25] 30. Find the probability that a point chosen at random on AD is on AL . A B C D L 0 5 10 15 706.5 cm2 [26] 558 . cm2 2 [27] The sector is 18.5 cm larger. [28] 144 – 36 [29] 38.53m2 8 [30] 15 11 [31] 14 [32] 8 [33] 2 1