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1. gain knowledge about the perimeter
2. Recognize the formulas for perimeter
and circumference
3. find the perimeter of polygons
4. find the circumference of circle
It is the
of a .
Polygon
A is a closed figure whose sides
are .
A is a polygon having all
sides congruent and all angles congruent.
Triangle (3)
Square (4)
Pentagon (5)
Hexagon (6)
Heptagon (7)
Octagon (8)
Nonagon (9)
Decagon (10)
Hendecagon (11)
Dodecagon (12)
Tridecagon (13)
Tetradecagon (14)
Pendedecagon (15)
Hexdecagon (16)
Heptdecagon (17)
Octdecagon (18)
Enneadecagon (19)
Icosagon (20)
To find the perimeter of a polygon:
1. just get the sum of all the lengths
of the sides of that polygon.
Example 1:
5 cm
9 cm
7 cm
𝑃 = 5 +7 + 9
𝑃 = 21 𝑐𝑚.
Example 2:
12 m
14 m
𝑃 = 12+14
𝑃 = 26 𝑚.
Example 3:
11.5 cm.
𝑃 = 11.5 (8)
𝑃 = 92 𝑐𝑚.
11.5 cm.
11.5 cm.
11.5 cm.
11.5 cm.
11.5 cm.
11.5 cm.
11.5 cm.
A is a
in a plane that
are at the same
distance form a given
point in the plane.
Thus, called the
.
center
A is a
in a plane that
are at the same
distance form a given
point in the plane.
Thus, called the
.
center
In the circle on the left:
-Point C is in the interior of the circle.
-Point E is in the exterior of the circle.
-Points A, D, and B lie on the circle
-Center: point O
-Radius: OA, OB, OD
-radius is one-half the diameter
-Diameter: AB
-a diameter is twice the radius.
A
C
O
D
EB
The of
a circle is the
.
center
Formula:
𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟
where d is the
and r is the .
Formula:
𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟
where d is the
and r is the .
50 ft.
𝐶 ≈ 𝜋𝑑
𝐶 ≈ 3.14(50)
𝐶 ≈ 𝑓𝑡.
Example 1:
157
Formula:
𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟
where d is the
and r is the .
14 cm.
𝐶 ≈ 2𝜋𝑟
𝐶 ≈ 2 (3.14)
𝐶 ≈ 𝑐m
Example 1:
(14)
87.92
question
s?

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Lesson 2.5 measuring perimeter and circumference

  • 1.
  • 2.
  • 3. 1. gain knowledge about the perimeter 2. Recognize the formulas for perimeter and circumference
  • 4. 3. find the perimeter of polygons 4. find the circumference of circle
  • 5.
  • 8. A is a closed figure whose sides are . A is a polygon having all sides congruent and all angles congruent.
  • 9. Triangle (3) Square (4) Pentagon (5) Hexagon (6) Heptagon (7) Octagon (8) Nonagon (9) Decagon (10) Hendecagon (11) Dodecagon (12) Tridecagon (13) Tetradecagon (14) Pendedecagon (15) Hexdecagon (16) Heptdecagon (17) Octdecagon (18) Enneadecagon (19) Icosagon (20)
  • 10.
  • 11. To find the perimeter of a polygon: 1. just get the sum of all the lengths of the sides of that polygon.
  • 12. Example 1: 5 cm 9 cm 7 cm 𝑃 = 5 +7 + 9 𝑃 = 21 𝑐𝑚.
  • 13. Example 2: 12 m 14 m 𝑃 = 12+14 𝑃 = 26 𝑚.
  • 14. Example 3: 11.5 cm. 𝑃 = 11.5 (8) 𝑃 = 92 𝑐𝑚. 11.5 cm. 11.5 cm. 11.5 cm. 11.5 cm. 11.5 cm. 11.5 cm. 11.5 cm.
  • 15.
  • 16. A is a in a plane that are at the same distance form a given point in the plane. Thus, called the . center
  • 17. A is a in a plane that are at the same distance form a given point in the plane. Thus, called the . center
  • 18. In the circle on the left: -Point C is in the interior of the circle. -Point E is in the exterior of the circle. -Points A, D, and B lie on the circle -Center: point O -Radius: OA, OB, OD -radius is one-half the diameter -Diameter: AB -a diameter is twice the radius. A C O D EB
  • 19. The of a circle is the . center
  • 20. Formula: 𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟 where d is the and r is the .
  • 21.
  • 22. Formula: 𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟 where d is the and r is the . 50 ft. 𝐶 ≈ 𝜋𝑑 𝐶 ≈ 3.14(50) 𝐶 ≈ 𝑓𝑡. Example 1: 157
  • 23. Formula: 𝐶 = 𝜋𝑑 𝑜𝑟 2𝜋𝑟 where d is the and r is the . 14 cm. 𝐶 ≈ 2𝜋𝑟 𝐶 ≈ 2 (3.14) 𝐶 ≈ 𝑐m Example 1: (14) 87.92