NOTE MATH PMR POLYGON
- 1. Friday, January 25, 2013 AIRIL AHMAD
- 2. Friday, January 25, 2013 POLYGON By Airil Bin Ahmad AIRIL AHMAD
- 3. Friday, January 25, 2013 Polygon is a plane figure bounded by straight lines AIRIL AHMAD
- 4. Friday, January 25, 2013 2. There are 2 types of polygon: a. Irregular Polygon A polygon in which not all the sides are of equal length or not all the interior angles are of equal sides. 1200 300 300 AIRIL AHMAD
- 5. Friday, January 25, 2013 b. Regular Polygon A polygon in which all the sides are of equal length and all the interior angles are of equal size. AIRIL AHMAD
- 6. Friday, January 25, 2013 Interior Angle a b Angles a, b, c and d d c are interior angles. AIRIL AHMAD
- 7. Friday, January 25, 2013 3.The name of polygon : No.of side Name of figure No.of triangle Sum of interior angles (n) n -2 (n -2) x 180 3 Triangle 3–2= 1 (3 -2) x 180 = 1800 4 Quadilateral 4–2= 2 (4 -2) x 180 = 3600 5 Pentagon 5–2= 3 (5 -2) x 180 = 5400 6 Hexagon 4 7200 7 Heptagon 5 9000 8 Octagon 6 10800 9 Nonagon 7 12600 10 Decagon 8 14400 AIRIL AHMAD
- 8. Friday, January 25, 2013 a0 + b0 + c0 = 1800 c0 a0 b0 AIRIL AHMAD
- 9. Friday, January 25, 2013 a0 + b0 + c0 = 1800 0 x0 + y0 + z0 = 1800 c0 a0 z0 b0 y0 x0 AIRIL AHMAD
- 10. Friday, January 25, 2013 a0 + b0 + c0 = 1800 0 q0 + r0 + s0 = 1800 x0 + y0 + z0 = 1800 b r00 y0 a0 z0 c0 x0 q0 s0 AIRIL AHMAD
- 11. Friday, January 25, 2013 MATHEMATICS G AIRIL AHMAD
- 12. Friday, January 25, 2013 Exercise: 1. Find the sum of the interior angle of each of the following regular polygons: a. 12-sides b. 26-sides c. 22-sides d. 36-sides AIRIL AHMAD
- 13. Friday, January 25, 2013 AIRIL AHMAD
- 14. Friday, January 25, 2013 Exercise: 2. Find the value of x: x0 + + + + = 540 1200 x + 455 = 540 x0 1000 0 x = 5400- 455 x = 850 1100 1250 AIRIL AHMAD
- 15. Friday, January 25, 2013 3. Find the value of x: 4. Find the value of x: 1250 1390 1180 1020 x0 1290 x0 1130 1310 AIRIL AHMAD
- 16. Friday, January 25, 2013 5. Find the value of x: 6. Find the value of x: 1020 1090 1250 1020 x0 2390 650 x0 1130 1010 AIRIL AHMAD
- 17. Friday, January 25, 2013 7. Find the value of x: 8. Find the value of x: x0 1030 2x0 1250 1020 2x0 2390 950 x0 1150 1030 AIRIL AHMAD
- 18. Friday, January 25, 2013 AIRIL AHMAD
- 19. Friday, January 25, 2013 SUM OF EXTERIOR ANGLES By Airil Bin Ahmad AIRIL AHMAD
- 20. Friday, January 25, 2013 e f Angles e, f, g and h h are exterior angles. g AIRIL AHMAD
- 21. Friday, January 25, 2013 c b d Exterior Angle a e AIRIL AHMAD
- 22. Friday, January 25, 2013 c a+b+c+d+e=3600 b d a e AIRIL AHMAD
- 23. Friday, January 25, 2013 SUM OF EXTERIOR ANGLES = 360 0 AIRIL AHMAD
- 24. Friday, January 25, 2013 Solving Problem Example 1: Find the value of x: + + + + = 360 600 x + 28500= 3600 - 285 800 x = 360 0 x0 x = 750 700 750 AIRIL AHMAD
- 25. Friday, January 25, 2013 Solving Problem Example 2: Find the value of x: + + + + = 360 650 x + 27100= 3600 - 271 800 x = 360 0 x0 x = 890 560 700 AIRIL AHMAD
- 26. Friday, January 25, 2013 Example 3: Find the value of x: 65 0 + + + + = 360 0 1150 800 x + 271 00 = 360 0 - 271 x0 x = 360 0 1100 1240 560 X = 89 0 700 AIRIL AHMAD
- 27. Friday, January 25, 2013 EXERCISE PG 28 EX 2.2C NO 1, 2 AND 3 AIRIL AHMAD
- 28. Friday, January 25, 2013 NO. OF SIDES By Airil Bin Ahmad AIRIL AHMAD
- 29. Friday, January 25, 2013 No.of sides(n)= 360 ÷ exterior angle AIRIL AHMAD
- 30. Friday, January 25, 2013 Example 1: Find the no. of sides if : 1 a. Exterior angle = 600 n = 3600 ÷ 600 = 6 = Hexagon AIRIL AHMAD
- 31. Friday, January 25, 2013 Example 2: Find the no. of sides if : 1b. Interior angle = 1400 Exterior angle = 1800 – 140=40 n = 3600 ÷ 400 = 9 = Nonagon AIRIL AHMAD
- 32. Friday, January 25, 2013 Exercise: Find the no. of sides in each of the regular polygons. 1. 2. 450 360 3. 4. 400 200 AIRIL AHMAD
- 33. Friday, January 25, 2013 Exercise: Find the no. of sides in each of the regular polygons. 5. 6. 1600 1440 7. 8. 1700 1080 AIRIL AHMAD
- 34. Friday, January 25, 2013 SOLVING PROBLEM OF POLYGONS By Airil Bin Ahmad AIRIL AHMAD
- 35. Friday, January 25, 2013 EXERCISE: 1. 2. X0 X0 Y0 Y0 AIRIL AHMAD
- 36. Friday, January 25, 2013 EXERCISE: 3. 4. Y0 Y0 X0 X0 AIRIL AHMAD
- 37. Friday, January 25, 2013 5. In the regular polygon, find x0 and y0 6. In the regular polygon, find x0 and y0 y0 x0 y0 x0 AIRIL AHMAD