Geometry Area Chapter 10 Practice Test Key

Geometry Name___________________________________ Geo - Chap 10 Practice Test, IA Ver 1 Date________________ Period____ (10-1) Find the area of each. 1) 2) 12 m 8.5 m 5.9 m 12 m 8.5 m 12 m A) 64.3 m² *C) 70.8 m² 10 m 660 cm B) 141.6 m² D) 128.6 m² 8m A) 19.8 m² C) 79.2 m² B) 33.7 m² *D) 39.6 m² (10-1) Find the missing measurement. Round your answer to the nearest tenth. Take care to use the correct units. 4) 3) 24.8 m 12 m ? mm 3.7 cm ?m 3.1 cm Area = 144 m² Area = 8.4 cm² A) 47.9 mm C) 5.4 mm A) 12.9 m *C) 12 m B) 15.9 m D) 14.7 m *B) 54.2 mm D) 5.4 (10-2) Find the missing measurement. Round your answer to the nearest tenth. Take care to use the correct units. 5) 4m ?m 9.4 m 1100 cm Area = 67.5 m² A) 10.3 m C) 8.8 m B) 10.4 m *D) 9 m (10-2) Find the area of the kite based on the information given. 6) A kite has side lengths of 3 2 and 5. It has diagonals of 6 and 7. What is the area of the kite? A) 15 2 units squared 15 2 B) units squared 2 C) 42 units squared *D) 21 units squared (10-3) Find the area of each regular polygon. Leave your answer in simplest form. 7) 8) nonagon apothem = 15 side = 10.9 8.7 A) 835.2 C) 347.625 9 A) 232.4 C) 336 B) 555.75 *D) 735.75 B) 168.98 *D) 274.05 (10-4) Based on the given information, answer the following question.. 9) The perimeter of a smaller regular pentagon is 20. The perimeter of a larger pentagon is 50. A) 2 to 5 C) 4 to 10 B) 20 to 50 *D) 4 to 25 10) Two similar rectangles have a ratio of their areas that is 1 to 16. The larger rectangle has a perimeter of 256. What is the perimeter of the smaller rectangle? *A) 64 C) 4096 B) 8 D) 16 (10-5) Find the area of each figure. Round your answer to the nearest tenth. 11) 8 mi 2 mi A) 16 mi² C) 0 mi² B) 4 mi² *D) 8 mi² (10-5 extension) Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth. 12) 50° 27 61° A) 470.3 C) 457.5 B) 658.9 *D) 486.2 (10-5) Find the area of each figure. Round your answer to the nearest tenth. 13) 14) A regular 12-gon 8 ft on each side. A) 1433.1 ft² C) 741.8 ft² *B) 716.6 ft² D) 198.8 ft² Perimeter = 25 ft A) 86 ft² C) 53.2 ft² *B) 43 ft² D) 38.6 ft² (10-6) If an angle is given, name the arc it makes. If an arc is given, name its central angle. 15) Major arc for ∠2 F G 2 H 1 I A) IGH C) HG *B) HFG D) IH (10-6) Find the length of each arc. 16) 210° 9 in 21π in 2 189π in C) 4 14π in 3 55π D) in 6 *A) B) (10-7) Find the area of each sector. 17) 300° 12 m A) 33π m² 2 C) 20π m² *B) 120π m² D) 11π m² 3 (10-7) Answer the following question based on the information given. 18) A circle has a radius of 10. It has an arc with a length of 14π. What is the area of the sector formed between the arc and its central angle? All answers are in units squared. A) 20π C) 90π *B) 70π D) 252π (10-8) Based on the information give, answer the following question. 19) A circle with a radius of 3 cm is inscribed in a square with side lengths of 6 cm. If a dart thrown at random hits the square, what is the probability that it will land inside the circle? 1 2 π C) 2 A) π 4 1 D) 4 *B) (10-8) Based on the information give, answer the following question (Hint: Draw a picture). 20) A circlewith a radius of 6 is circumscribed around a square. If a dart thrown at random hits the circle, what is the probability that it will land inside the square? 2 π π C) 4 *A) π 2 1 D) 4π B)