1 / 37

Chapter 10: Area

Chapter 10: Area. Geometry Mrs. Cutbirth. Directions.

moeshe
Download Presentation

Chapter 10: Area

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 10: Area Geometry Mrs. Cutbirth

  2. Directions The button will take you to the first slide. If you are having trouble with a particular problem you may click the button to view a hint. The button will return you to the previously view slide. The slide will advance you to the next slide. The button will take you back a slide. When you complete the problem you may check your answer by clicking the answer button on the slide.

  3. 1. Find the following measurement a ≈ __________ s= 107.5 cm A = 19,887.5 cm2 Answer

  4. 2. Find the following measurement P ≈ ___________ a = 38.6 mm A = 4940.8 mm2 Answer

  5. 3. Find the following measurement Answer Regular n-gon: a = 9.6 cm and A = 302.4 cm2, P ≈ _______

  6. 4. Answer Find the perimeter of a regular polygon if a = 9m and A ≈ 259.2 m2

  7. G I S D N R O A 5. Answer Find the shaded area of AORNGIS of the regular octagon ROADSIGN. The apothem measures about 20 cm. Segment GI measures about 16.6 cm.

  8. 6. Answer An interior designer created the kitchen plan shown. The countertop will be constructed of colored concrete. What is its total surface area? If concrete countertops 1.5 inches thick cost $85 per square foot, what will be the total cost of this countertop?

  9. 7. Answer Find the sum of the interior angles in the polygon. Then find the value of p. Sum of interior angles = _______ p = _______

  10. 8. Answer The measure of an exterior angle of a regular octagon is x + 7. Find xand the measure of each exterior angle of the octagon.

  11. 9. Answer Suppose a regular polygon has n sides. Write an expression to describe each of the following quantities for that regular polygon. the sum of the measures of the interior angles the measure of each interior angle the sum of the measures of the exterior angles (one at each vertex) the measure of each exterior angle.

  12. 10. Answer Find the area of the trapezoid. A = ___________

  13. 11. 28 cm 22 cm Answer Find the area. A=___________

  14. 12. Answer In the figure at the right, quadrilateral WXYZ is a trapezoid. Explain why ∆WXY and ∆XYZ have the same area (Hint: Consider XY as the base of both triangles.) Use the answer in part a and the Area Addition Postulate to explain why ∆WXR and ∆RYZ have the same area.

  15. THE END! Your test is tomorrow. It will cover all of the material from chapter 10. Exit

  16. 1. Hint a ≈ __________ s= 107.5 cm A = 19,887.5 cm2 Plug in for A and s, then solve your equation.

  17. 2. Hint P ≈ ___________ a = 38.6 mm A = 4940.8 mm2 Plug in for A and a, then solve your equation.

  18. 3. Hint Regular n-gon: a = 9.6 cm and A = 302.4 cm2, P ≈ _______ Plug in for A and a, then solve your equation.

  19. 4. Hint Find the perimeter of a regular polygon if a = 9m and A ≈ 259.2 m2 Plug in for A and a, then solve your equation.

  20. G I S D N R O A 5. Hint Find the shaded area of AORNGIS of the regular octagon ROADSIGN. The apothem measures about 20 cm. Segment GI measures about 16.6 cm. Find the area of the regular polygon using the formula, . a = apothem s = side length (GI) n = number of sides Then multiply that value by the fraction of the polygon that is shaded. What fraction of the total sides is shaded?

  21. 6. Hint 1. The shape is made up of two rectangles and one regular octagon. 3. To calculate the cost you will need to know how many square feet you have. If your area is in in2, you will need to do a conversion. There are 144in2 in 1ft2. 2. The apothem is the distance from the center to the side. 24 in

  22. 7. Hint Find the sum of the interior angles in the polygon. Then find the value of p. • Sum of interior angles = _______ • p = _______ Where n = the number of sides To find p, set up and equation. Add up all of the angles and set them equal to the sum you found.

  23. 8. Hint The measure of an exterior angle of a regular octagon is x + 7. Find xand the measure of each exterior angle of the octagon. The sum of the exterior angles is 360o. To find one exterior angle, divide the sum by the number of sides. To calculate x you can then set up an equation.

  24. 10. Hint Find the area of the trapezoid. A = ___________ + h= perpendicular height and are the parallel bases

  25. 11. Hint Find the area. A=___________ A = The b and h must be perpendicular. 28 cm 22 cm

  26. 1. Answer a =

  27. 2. Answer P = 256mm

  28. 3. Answer P = 63cm

  29. 4. Answer P = 57.6 m

  30. 5. Answer A = 996 cm2

  31. 6. Answer A = 50 ft2 or 7200 in2 Cost = $4250

  32. 7. Answer Sum = 900 p = 50

  33. 8. Answer x = 38 45o

  34. 9. Answer • (n – 2)180 • 360

  35. 10. Answer A = 297 in2

  36. 11. Answer A = 308 cm2

  37. 12. Answer • The area formula for a triangle is A = ½ bh. Both triangles share the same base and have the same height. • Both triangles have the same area. If you subtract the same area from each triangle, then the remaining amount on each triangle will be the same.

More Related