8.5 Practice: Modeling: Stained Glass Window Geometry Sem 1 (S3537251) Practice Assignment Julio Duenas Points possible: 20 Date: ____________ YOUR ASSIGNMENT: Stained Glass Window You are designing a stained glass window. Which division for circle B did you choose? Circle one option: Option 1: Thirds Option 2: Fourths Option 3: Sixths Here is a picture of the square pane and the circles inside. (Note: Picture is not drawn to scale.) 1. What is the area of the square? (1 point) 2. What is the approximate area of circle A? (1 point) 3. What is the approximate area of circle B? (1 point) 4. What is the approximate area of the shaded region 1 (between the square and circle A)? (2 points) 5. Does the area of shaded region 1 change size if you move circle A to a different position inside the square? (1 point) 6. What is the approximate area of shaded region 2 (between circles A and B)? (2 points) Consider the segmented circle B that you chose. 7. What is the interior angle of each sector inside your circle B? (1 point) 8. What is the approximate area of each sector in your circle B? (2 points) Solving the Problem: Suppose the costs for your glass are as follows: Region 1 (the area between the square and circle A): $0.10 per square inch Region 2 (the area between circle A and circle B): $0.15 per square inch Sectors for circle B: One sector will be made from expensive glass that is $0.80 per square inch. The rest of the sectors will be from glass that is $0.20 per square inch. 9. How much does the glass for region 1 cost? (1 point) 10. How much does the glass for region 2 cost? (1 point) 11. What is the total cost for the glass for the sectors in circle B? (2 points) 12. What is the total cost of the glass for your window? (1 point) 13. You have only $100 to spend on glass supplies. Do you have enough money to buy your glass? (1 point) Copyright 2015 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use . Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning and the Apex Learning Logo are registered trademarks of Apex