Perimeter & Circumference

A powerpoint presentation about the lesson "Measurement" (geometry)

1. Measurement Perimeter & Circumference

2. Perimeter Circumference distance vs a round a POLYGON a round a CIRCLE

3. Let us start with a PERIMETER… Sir wait….! ????? OMG…. Ano tana ang ginawakal ni sir nga PERIMETER man?

4. PERIMETER - refers to the distance around a polygon, it is the sum of the lengths of its side. How can we find the PERIMETER of a polygon?

5. Jonnel Palanog plans to put a ribbon at the edge of his bed sheet. The length of the bed sheet is 4 meters and a width of 2 meters. How many meters of ribbon does he needs? 4 meters 2 meters

6. Illustration 4 m l l w w 2 m The total length of ribbon that Jonnel needs can be determined by adding the measures of the sides of the polygon (rectangle).

7. Perimeter (P) = 4m + 2m + 4m + 2m = 12m Jonnel needs 12 meters to put the intire edge of his bed sheet. If l represents the length and w represents the width of a rectangle, then P = l + w + l + w = l + l + w + w P = 2 l + 2 w l l w w

8. Example Find for the perimeter of a rectangular glass table: l = 4m, w = 2m P = 2 l + 2 w = 2(4m) + 2(2m) = 8m + 4m P = 12m

9. Trapezoid P = 2 cm + 3 cm + 2 cm + 5 cm P = 12 cm P = a + b + c + d 3 cm 5 cm 2 cm 2 cm If a, b, c, d represent the length of the sides of the trapezoid, then a d c b

10. Example Find for the perimeter of a regular pentagonal table whose side is 7m Regular pentagon has 5 congruent sides. P = s + s + s + s + s P = 5s = 5 (7m) P = 35m

11. CIRCUMFERENCE distance around a circle How to find the circumference of a circle?

12. =

13. Derive ….. π = C d In terms of radius

14. Illustration Corniel’s bicycle has wheel with diameter of 60 centimeters. By how many meters has the bicycle moved when the wheels made one revolution?

15. 60 cm C = 60cm π C = 60cm (3.14) C =188.4 cm C =1.884 meters Here’s how…

16. Let’s try… Find the perimeter of the following figures. All measures are in cm. 5m 9m 9 m 13m 11cm 11cm 11cm 11cm 7 cm 7 cm 8mm 14mm 10mm 12mm 9 cm

17. Find the circumference. All measures are in centimeters. 2.76 cm 1.3cm 1. 2.

18. “It is Mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.” -Albert Einstein

19. Created by Mr. Reynaldo M. Anario Jr. Solido National High School The End