1. Geometry/Trig 2Name __________________________ Unit 9 Review PacketDate _______________ Block ______ 9ft 6ft 24in. 26in. 10cm 8cm Area = ___________ Perimeter = ___________ 6) An isosceles right triangle with the hypotenuse of length 14 in. 5) A square with diagonal 4cm. Area = ___________ Perimeter = ___________ Directions: Find the area and perimeter of each figure. 1)2) 3) Area = ___________ Perimeter = ___________ 4) Consecutive sides are perpendicular. 8 11.2

2. Directions: Find the area and perimeter of each figure. 10) A rhombus with diagonals 8m and 4m. 11) A parallelogram with sides 6 and 10 that form a 30º angle. 12) An isosceles trapezoid with legs 10ft and bases 6ft and 22ft. Area = ___________ Perimeter = ___________ Geometry/Trig 2 Unit 9 Review Packet 12km 10in 6in 20km 17km 9) The below figure is a trapezoid. 13ft 12ft 7) The below figure is a parallelogram.8) Area = ___________ Perimeter = ___________

3. 13) A circle with diameter 10ft. Area = ___________ Circumference = ___________ 14) In Circle Q, mABC = 288º and QA = 10. a.Find the circumference. _____ b.Find the length of arc AC. _____ c.Find the area of sector AQC. ______ Directions: Answer the below questions. Geometry/Trig 2 Unit 9 Review Packet A C B 15) AB is a diameter of the circle, and has a length of 16cm. Find the area of the shaded region. B A D 60º Q

4. 17) Given a regular hexagon with apothem find the area and perimeter. Area = ___________ Perimeter = ___________ O 4ft 12m O O 3in Area = ___________ Perimeter = ___________ Geometry/Trig 2 Unit 9 Review Packet Area = ___________ Perimeter = ___________ Directions: Find the area and perimeter of the below regular polygons. O is the center of each polygon. 16) 18)19)

5. Geometry/Trig 2 Unit 9 Review Packet 22) Given the square inscribed inside a circle, find the area of the shaded region. Leave your answer in terms of π. 23) Given the regular triangle circumscribed about the circle, find the area of the shaded region. Leave you answer in terms of π. 5 11 1 1 20) The bases of the trapezoid are tangent to the circle, and 4 is the radius of the circle. 16 4 10 Directions: Find the area of the shaded region. 21) 8m 3 Area of the Shaded Region = _______________ Probability = _______________

6. Directions: Answer each word problem. Round all decimals to the nearest tenth. 24. Find the area and “useable” area of the bedroom below. 27. Given that a circular table has an area of 676  square inches, find the circumference of the table. Bed Desk Chair 26. Given that a trapezoid has an area of 120in 2, a height of 10in, and one base that measures 10in, find the length of the second base. 28. Given that the area of a sector is 64π and the radius is 12 inches. What is the central angle? 29. Mariella wants to place an ad on a wall at a shopping mall. The space that she is considering is 5 feet long and 2.5 feet wide. She knows that it will cost her $40 per square foot, per month. How much will it cost her to advertise for one year? 25. Allie wants to put a fence around her property. She knows that her entire property is 900 square yards. She measures one side of her rectangular property as 45 yards long. Determine the amount of fence she will need in feet. (Hint: determine the amount in yards first and convert units LAST). r = 3ft 5ft 7ft 15ft 3ft 4ft 9 ft 11 ft 12ft Geometry/Trig 2 Unit 9 Review Packet