Shape and space: areas

S
Steve BishopLecturer at Further education
••
Shape and space: area & perimeter,[object Object],BTEOTSSBAT:,[object Object],Find the area and perimeter of simple shapes,[object Object]
Key words,[object Object],Dimension,[object Object],Area,[object Object],Perimeter,[object Object],Height,[object Object],Length,[object Object],Width,[object Object],Circumference,[object Object],Parallelogram,[object Object],Trapezium,[object Object]
Dimensions,[object Object]
Dimensions,[object Object]
Dimensions,[object Object],1 D,[object Object]
Dimensions,[object Object],1 D,[object Object],length,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],area,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],mm²,[object Object],cm²,[object Object],m²,[object Object],km²,[object Object],area,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],mm²,[object Object],cm²,[object Object],m²,[object Object],km²,[object Object],area,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],mm²,[object Object],cm²,[object Object],m²,[object Object],km²,[object Object],area,[object Object],3 D,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],mm²,[object Object],cm²,[object Object],m²,[object Object],km²,[object Object],area,[object Object],3 D,[object Object],volume,[object Object]
Dimensions,[object Object],mm,[object Object],cm,[object Object],m,[object Object],km,[object Object],1 D,[object Object],length,[object Object],2 D,[object Object],mm²,[object Object],cm²,[object Object],m²,[object Object],km²,[object Object],area,[object Object],3 D,[object Object],mm³,[object Object],cm³,[object Object],m³,[object Object],km³,[object Object],volume,[object Object]
Perimeter,[object Object],The perimeter of a shape is the distance around its edges.,[object Object]
Perimeter,[object Object],The perimeter of a shape is the distance around its edges.,[object Object],Example,[object Object],Find the perimeter of this room,[object Object]
Perimeter,[object Object],The perimeter of a shape is the distance around its edges.,[object Object],Example,[object Object],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.,[object Object],The total perimeter will be:,[object Object],shape (a) 7 + 7 + 7 + 4 = 25,[object Object],shape (b) 3 + 3 +3 = 9,[object Object],total = 25 + 9 = 34 units.,[object Object],Find the perimeter of this room,[object Object]
Now try these 1,[object Object],Find the perimeter of the following shapes:,[object Object],(a) (b),[object Object],4 cm ,[object Object], 6 cm ,[object Object],4 cm ,[object Object],4 cm ,[object Object], 4 cm ,[object Object],2 cm ,[object Object]
(c) (d),[object Object],All dimensions in metres,[object Object]
The perimeter of a circle,[object Object],The perimeter of a circle is called the circumference.,[object Object]
The perimeter of a circle,[object Object],The perimeter of a circle is called the circumference.,[object Object],The circumference = π  diameter or 2  π  radius,[object Object]
The perimeter of a circle,[object Object],The perimeter of a circle is called the circumference.,[object Object],The circumference = π  diameter or 2  π  radius,[object Object],Cherry pies delicious ,[object Object]
The perimeter of a circle,[object Object],The perimeter of a circle is called the circumference.,[object Object],The circumference = π  diameter or 2  π  radius,[object Object],Find the circumference of these circles,[object Object],2 cm 10 cm,[object Object], 1 m,[object Object]
Shape and space: areas
Shape and space: areas
Shape and space: areas
Shape and space: areas
Shape and space: areas
Now try these 2,[object Object],1. Find the area of these triangles:,[object Object],5.2 cm,[object Object],5 cm,[object Object],4 cm,[object Object],6.1 cm ,[object Object],4 cm,[object Object],3 cm,[object Object],5 cm,[object Object]
Shape and space: areas
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object]
Parallelogram,[object Object],Width,[object Object],Height,[object Object],Area = height x width!,[object Object]
Shape and space: areas
Shape and space: areas
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],½ (a + b),[object Object],b,[object Object]
Trapezium,[object Object],a,[object Object],Height,[object Object],½ (a + b),[object Object],Area = ½ (a + b)x h,[object Object],b,[object Object]
Shape and space: areas
Area = πr²,[object Object]
Cherry pies delicious,[object Object],Apple pies are 2,[object Object],Area = πr²,[object Object]
Area = πr²,[object Object]
2. Find the area of the following circles:,[object Object],r = 4 cm r = 2.5 cm,[object Object],r = 3 cm,[object Object],D = 12 cm ,[object Object],D = 24 cm,[object Object]
3. Find the area of the following shapes:,[object Object], 5 cm 12 cm,[object Object],4 cm,[object Object],4 cm,[object Object],10 cm,[object Object],4 cm,[object Object],10 cm,[object Object],4 cm,[object Object],3 cm,[object Object],3 cm,[object Object],8 cm,[object Object]
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Shape and space: areas

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Areas of simple shapes for GCSE mathematics

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Steve BishopLecturer at Further education

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