Shape and space: areas
-
Upload
steve-bishop -
Category
Education
-
view
2.259 -
download
0
description
Transcript of Shape and space: areas
Shape and space: area & perimeter
BTEOTSSBAT:Find the area and perimeter of simple shapes
Key wordsDimensionAreaPerimeterHeightLengthWidthCircumferenceParallelogramTrapezium
Dimensions
Dimensions
Dimensions
1 D
Dimensions
1 D
length
Dimensions
1 D mmcmmkm
length
Dimensions
1 D mmcmmkm
length
Dimensions
1 D
2 D
mmcmmkm
length
Dimensions
1 D
2 D
mmcmmkm
length
area
Dimensions
1 D
2 D
mmcmmkm
mm²cm²m²km²
length
area
Dimensions
1 D
2 D
mmcmmkm
mm²cm²m²km²
length
area
Dimensions
1 D
2 D
3 D
mmcmmkm
mm²cm²m²km²
length
area
Dimensions
1 D
2 D
3 D
mmcmmkm
mm²cm²m²km²
length
area
volume
Dimensions
1 D
2 D
3 D
mmcmmkm
mm²cm²m²km²
mm³cm³m³km³
length
area
volume
PerimeterThe perimeter of a shape is the distance around its edges.
PerimeterThe perimeter of a shape is the distance around its edges.
Example
Find the perimeter of this room
To find the perimeter we need to know the lengths of some of the missing sides. The side joining shapes (a) and (b) is 7 in total, but 3 is missing from it so it has a length of 7 -3 = 4.The total perimeter will be:shape (a) 7 + 7 + 7 + 4 = 25shape (b) 3 + 3 +3 = 9total = 25 + 9 = 34 units.
PerimeterThe perimeter of a shape is the distance around its edges.
Example
Find the perimeter of this room
Now try these 1Find the perimeter of the following shapes:
(a) (b)
6 cm
4 cm
2 cm
4 cm 4 cm
4 cm
All dimensions in metres
(c) (d)
The perimeter of a circleThe perimeter of a circle is called the circumference.
The perimeter of a circleThe perimeter of a circle is called the circumference.
The circumference = π diameter or 2 π radius
The perimeter of a circleThe perimeter of a circle is called the circumference.
The circumference = π diameter or 2 π radius
Cherry pies delicious
The perimeter of a circleThe perimeter of a circle is called the circumference.
2 cm 10 cm 1 m
The circumference = π diameter or 2 π radius
Find the circumference of these circles
Shape Area
Rectangle
Triangle
Parallelogram
Trapezium
Circle
Shape Area
Rectangle Area = height x width
Triangle
Parallelogram
Trapezium
Circle
Shape Area
Rectangle Area = height x width
TriangleThink of it a half a rectangle
Parallelogram
Trapezium
Circle
Shape Area
Rectangle Area = height x width
TriangleThink of it a half a rectangle
Area = ½ height x width
Parallelogram
Trapezium
Circle
Shape Area
Rectangle Area = height x width
TriangleThink of it a half a rectangle
Area = ½ height x width = ½ base x perpendicular height
Parallelogram
Trapezium
Circle
Now try these 2
1. Find the area of these triangles:
5.2 cm
6.1 cm
5 cm
4 cm
5 cm
4 cm
3 cm
Shape Area
Rectangle Area = height x width
TriangleThink of it a half a rectangle
Area = ½ height x width = ½ base x perpendicular height
Parallelogram
Trapezium
Circle
WidthH
eigh
tParallelogram
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram Width
Hei
ght
Parallelogram
Area = height x width!
Width
Shape Area
Rectangle Area = height x width
Triangle Area = ½ height x width = ½ base x perpendicular height
Parallelogram Area = height x width
Trapezium
Circle
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
Hei
ght
Trapeziuma
b
½ (a + b)
Hei
ght
Trapeziuma
b
½ (a + b)Area = ½ (a + b)x h
Shape Area
Rectangle Area = height x width
Triangle Area = ½ height x width = ½ base x perpendicular height
Parallelogram Area = height x width
Trapezium Area = ½ (a+b) x perpendicular height
Circle
Area = π r²
Area = π r²
Cherry pies deliciousApple pies are 2
Shape Area
Rectangle Area = height x width
Triangle Area = ½ height x width = ½ base x perpendicular height
Parallelogram Area = height x width
Trapezium Area = ½ (a+b) x perpendicular height
CircleArea = π r²
2. Find the area of the following circles:
r = 4 cm r = 2.5 cm r = 3 cm
D = 12 cm D = 24 cm
3. Find the area of the following shapes:
5 cm 12 cm
4 cm4 cm
4 cm
4 cm 10 cm
3 cm
8 cm
3 cm
10 cm