0
BY : RONALD N S
   Full turn                  : satu putaran penuh(360o)   Straight angle             : sudut lurus ( 180o)   Right ang...
Types of AnglesParts of Angle                           Hexadecimal system                                       Supplemen...
 The  corner point of an          angle is called the          VERTEX         Two straight lines is          called ARMS...
   There are two main ways to label           angles:       1. by giving the angle a name,         usually a lower-case l...
BackLook at the picture, and completely the table!                B                                G                2     ...
BackType of Angle                       DescriptionAcute angle     an angle that is less than 90°Right angle     an angle ...
determine the type of the following angles!  Acute         Acute   Right              Acute  Acute                        ...
Two Angles are Complementary if they add up  to 90 degrees (a Right Angle).                       These two angles (40° an...
Two Angles are Supplementary if they add up  to 180 degrees.                               These two angles (140° and 40°)...
How can you remember which is which? Easy! Think: "C" of Complementary stands for "Corner"  (a Right Angle), and "S"of S...
Remember :1o = 60 ‘       1‘ = ( 1/ 60 )o1‘ = 60 “       1“ = ( 1 / 60)‘1o = 3600’’     1’’ = ( 1/ 3600 )oO read degree‘ r...
Rewrite 3,15 o into the hexadecimal system!Solution3,15o = 3o + 0,15o      = 3o + 0,15 x 1o      = 3o + 0,15 x 60’      = ...
Rewrite 3,125o into hexadecimal system!Solution3,125o      = 3o + 0,125o            = 3o + 0,125 x 1o            = 3o + 0,...
Rewrite 19o15’27’’ in degree unit!19o15’27’’ = …..o      = 19o + 15’ + 27’’      = 19o + 15 x ( 1/60)o + 27 x ( 1/3600)o  ...
Find the result :a. 15o43’25’’ + 42o52’17’’b. 42o17’52’’ – 25o34’44’’
a.     15o43’25’’       42o52’17’’ +       57o95’42’’ = 58o35’42’’b.     42o17’52’’          41o77’52’’       25o34’44’’ -...
 The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute Theminute hand...
From this statement , we can write :a) Long arm      = minute arm   1 hour        = 60’       = 360o   1 minute      = 360...
What degree is the angle formed by long and short arm of analogue clock at 07.15 am?Solution:Position long arm in number 3...
Rewrite these questions into hexadecimal  system:
Angles
Upcoming SlideShare
Loading in...5
×

Angles

1,095

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
1,095
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
27
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Transcript of "Angles"

  1. 1. BY : RONALD N S
  2. 2.  Full turn : satu putaran penuh(360o) Straight angle : sudut lurus ( 180o) Right angle : sudut siku-siku ( 90o) Acute angle : sudut lancip (0o < x < 90o) Obtuse angle : sudut tumpul (90o< x <180o) Reflex angle : sudut refleks (180o < x < 360o) Protractor : busur derajat Magnitude : besaran, ukuran Longest arm (minute arm) : jarum panjang short arm ( hour arm ) : jarum pendek Complemantary angle : sudut berpenyiku Supplementary angle : sudut berpelurus Vertically opposite : bertolak belakang Intersect : Berpotongan Compasses : Jangka Perpendicular : tegak lurus Bisector : Membagi sudut sama besar
  3. 3. Types of AnglesParts of Angle Hexadecimal system Supplementary AnglesLabelling Angles Complementary Angles Clock Angle Problem
  4. 4.  The corner point of an angle is called the VERTEX  Two straight lines is called ARMS The angle is the amount of turn between eachBack arm.
  5. 5.  There are two main ways to label angles: 1. by giving the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta) 2. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex). Example angle "a" is "BAC", and angle "θ" is "BCD"Back
  6. 6. BackLook at the picture, and completely the table! B G 2 D 4 C 3 1 F 5 A E H Numbers One letter Three letters 1 A BAC 2 B ABC 3 F GFH 4 G FGH 5 H FHG
  7. 7. BackType of Angle DescriptionAcute angle an angle that is less than 90°Right angle an angle that is 90° exactlyObtuse angle an angle that is greater than 90° but less than 180°Straight angle an angle that is 180° exactlyReflex angle an angle that is greater than 180°
  8. 8. determine the type of the following angles! Acute Acute Right Acute Acute Obtuse
  9. 9. Two Angles are Complementary if they add up to 90 degrees (a Right Angle). These two angles (40° and 50°) are Complementary Angles, because they add up to 90°. If the two angles add to 90°, we say they "Complement" each other. Back
  10. 10. Two Angles are Supplementary if they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°. If the two angles add to 180°, we say they "Supplement" each other.Back
  11. 11. How can you remember which is which? Easy! Think: "C" of Complementary stands for "Corner" (a Right Angle), and "S"of Supplementary stands for "Straight" (180 degrees is a straight line)
  12. 12. Remember :1o = 60 ‘ 1‘ = ( 1/ 60 )o1‘ = 60 “ 1“ = ( 1 / 60)‘1o = 3600’’ 1’’ = ( 1/ 3600 )oO read degree‘ read minute“ read second
  13. 13. Rewrite 3,15 o into the hexadecimal system!Solution3,15o = 3o + 0,15o = 3o + 0,15 x 1o = 3o + 0,15 x 60’ = 3o + 9’ = 3o9’So, 3,15o = 3o9’
  14. 14. Rewrite 3,125o into hexadecimal system!Solution3,125o = 3o + 0,125o = 3o + 0,125 x 1o = 3o + 0,125 x 60’ = 3o + 7,5’ = 3o + 7’ + 0,5’ = 3o+ 7’ + 0,5 x 60’’ = 3o + 7’ + 30’’ = 3o7’30’’
  15. 15. Rewrite 19o15’27’’ in degree unit!19o15’27’’ = …..o = 19o + 15’ + 27’’ = 19o + 15 x ( 1/60)o + 27 x ( 1/3600)o = 19o + 0,25o + 0,0075o = 19,2575oSo, 19o15’27’’ = 19,2575o
  16. 16. Find the result :a. 15o43’25’’ + 42o52’17’’b. 42o17’52’’ – 25o34’44’’
  17. 17. a. 15o43’25’’ 42o52’17’’ + 57o95’42’’ = 58o35’42’’b. 42o17’52’’ 41o77’52’’ 25o34’44’’ - 25o34’44’’ - 16o43’8’’Back
  18. 18.  The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute Theminute hand rotates through 360° in 60 minutes or 6° per minute. Back
  19. 19. From this statement , we can write :a) Long arm = minute arm 1 hour = 60’ = 360o 1 minute = 360o : 60 = 6ob) Short arm = hour arm 1 hour = 360o : 12 = 30o 1 minute = 30o : 60 = 0,5o
  20. 20. What degree is the angle formed by long and short arm of analogue clock at 07.15 am?Solution:Position long arm in number 3Position short arm in number 7So, (7 – 3)x 30o = 4 x 30o = 120oThen Short arm is move = 15 x 0,5o = 7,5oSo, angle formed = 120o + 7,5o = 127,5o
  21. 21. Rewrite these questions into hexadecimal system:
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×