73 Area of Complex Figures What are the formulas for the areas of a parallelogram triangle trapezoid and circle What is the circumference formula for a circle Parallelogram A bh Triangle ID: 478328
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Slide1
7.3 Area of Complex FiguresSlide2
7.3 Area of Complex Figures
What are the formulas for the areas of a parallelogram, triangle, trapezoid, and circle? What is the circumference formula for a circle?
Parallelogram
A = bh
Triangle
A = ½ bh
TrapezoidA = ½ h(b1 + b2)
CircleA = Πr2
Circle
C =
Π
d or 2
Π
rSlide3
Example 1
Find the area of the complex figure.
How can this figure be separated?
What are the formulas that are needed to solve this problem?
Triangle
A = ½ bh
A = ½ (12)(4)A = 24
RectangleA = bhA = 12(15)A = 180
4
15
12
The area of the figure is 24 + 180. This equals 204.
NOW WHAT!?!Slide4
Example 2
Find the area of the complex figure.
What formulas do we use?
6
11
Semi-circle
A = ½
Π
r
2
Triangle
A = ½ bh
A = ½ (6)(11)
A = 33
A = ½
Π
(3)
2
A = 14.1
Now what!?!
Add the areas together.
14.1 + 33 = 37.1Slide5
Example 3
Find the area of the complex figure.
What shapes can this be separated into?
What are the formulas needed?
6
8
16
24
6
Triangle
A = ½ bh
A = ½ (12)(8)
A = 48
Rectangle
A = bh
A = 8(24)
A = 192
Add the areas together. 48 + 192 = 240Slide6
Practice
Find the area of the complex figures.
7
10
Rectangle
A = bh
A = 7(10)
A = 70
2 half circles = 1 whole circle
Circle
A =
Π
r
2
A =
Π
(3.5)
2
A = 38.5
70 + 38.5 = 108.5Slide7
Practice…
6
6
6
6
6
5
8
Square
A = s
2
A = 6
2
A = 36
Remember: there are 2 squares
Trapezoid
A = ½ h(b
1
+b
2
)
A = ½ 5 (18 + 8)
A = ½ 5(26)
A = 65
Add them up!
36 + 36 + 65 = 137