Area FormulasObjective: find the area of geometric figures

and shaded regions.What area formulas must be memorized?

The amount of 2-dimensional space an object takes up

Measured in “square units”

cm2 , ft2 , in2

Area

Ex 1) Area of a rectangle

7 in

10 in

Ex 2) Area of a parallelogram

5 cm

2 cm

Ex 3) Area of a triangle (formula 1)

9 cm

7 cm

Ex 4) Area of a triangle (formula 2)

8 cm6 cm

70°

Ex 5) Area of a trapezoid

18 ft

20 ft

6 ft

Ex 6) Area of a Circle

8in

Ex 7) Area of a shaded sector

30°

2in

Area of outside shape – Area of inside shape

The circle below has a radius of 8, and the square has sides of length 5. Find the

area of shaded region

Ex 8) Area of shade region

Find the area of the figure below

12 cm

9 cm

108 cm2

36 m

The perimeter of the rectangle is 126 m. Find the area.

972 m2

Find the area of the figure below

24 cm

30 cm

360 cm2

Find the area of the figure below

5 ft

3 ft

7.5 ft2

22 ft

18 ft 15ft 27 ft

5. The area of the obtuse triangle is 176

Find the area of the figure below

A = 165 ft2

Find the area of the figure below

A = 11.13 m2

Find the area of the figure below

A = 35.95 in2

Find the area of the figure belowA = 17.78 cm2

Find the area of the figure below

A = 22.4 ft2

3. Find the Area

6 cm

10 cm

9 cm72 cm2

7. Find the area

11 m

25 m

13 m 12 m

A = 216 m2

What is the area of the circle below?

5 in

A=25∏ or 78.5

What is the area of the circle below?

7 cm

A=12.25∏ or 38.5

Find the area of the shaded sector:

Find the area of the shaded sector

Find the area of the shaded region

Find the area of the shaded region

42.06