Name: ________________________________________ Date___________________________________________ Geometry Period:_____ Chapter 11 Review HW: THIS WORKSHEET & PROBLEMS FROM BOOK: P. 780 #8, 13, 14, 24-26 SHOW ALL WORK TO RECEIVE CREDIT. Find the area of the shaded region. Round answers to the nearest tenth, if necessary. 1. 2. 3. Find the indicated measure. Round answers to the nearest tenth. 4. Length of AB 5. Circumference of The area of D is 113.1 square meters. The area of sector ADB is 34.6 square meters. Find the indicated measure. 6. Radius of D 7. Circumference of 8. m AB 9. Length of ACB D L Name: ________________________________________ Date___________________________________________ Geometry Period:_____ Find the area of the shaded region. Round answers to the nearest tenth, if necessary. 10. 11. Find the probability that a randomly chosen point in the figure lies in the shaded region. 12. 13. 14. What is the area of a regular 24-gon with a side length of 20 cm? 15. An equilateral triangle is inscribed in a circle with a radius of 13 inches. Find the area of the triangle. FORMULAS WITH PROOFS • Area of Triangle • Area of Parallelogram • Area of Kite • Area of Rhombus (using diagonals) • Area of Trapezoid • Area of Regular Polygon (using apothem and Perimeter) Name: ________________________________________ Date___________________________________________ Answers from Book 8. Base = 14 inches Height = 21 inches 13. ratio of perimeters 10 13 2 100 ⎛ 10 ⎞ ratio of areas ⎜ ⎟ = ⎝ 13 ⎠ 169 missing area = 152.21 cm2 12 7 5 ≈ 0.1388 ≈ 13.89% 24. 36 10 ≈ 0.7609 ≈ 76.09% 25. 10 + π 4 +π ≈ 0.8927 ≈ 89.27% 26. 8 14. Answers from Worksheet 1. 141.7 square units 2. 98.5 square units 3. 13.6 square units 4. 9.8 ft 5. 69.4 cm 6. 6 m 7. 37.7 m 8. 110° 9. 26.2 m 10. 169.6 ft2 11. 240.5 m2 12. ≈ 34.1% 14. 18439.73 cm2 15. 219.5 in2 13. ≈ 30.8% Geometry Period:_____