S3 BLOCK 8 Area and volume Area Learning Outcomes I can find the area of the following 2D shapes. Rectangle Triangle Trapezium Circle

Area Area is the size of a surface. It is the amount of space inside the boundary of a 2D shape.

The Area of Rectangle For a rectangle, Area = length x breadth breadth

The Area of a Circle For a circle, 𝐴𝑟𝑒𝑎= 𝜋 𝑟 2 Note: 𝜋 is 3∙14 𝑟 is the radius Radius, the distance from the centre of the circle to the outside edge. 𝑟

The Area of a Triangle For a triangle, 𝐴𝑟𝑒𝑎= 1 2 𝑏ℎ Note: ℎ is the perpendicular height 𝑏 is the base ℎ 𝑏

The Area of a Trapezium For a trapezium, 𝐴𝑟𝑒𝑎= 1 2 ℎ(𝑎+𝑏) Note: b 𝐴𝑟𝑒𝑎= 1 2 ℎ(𝑎+𝑏) Note: ℎ is the perpendicular height

Example 1: Calculate the area

Height is 7 cm Base is 6 cm 𝐴= 1 2 ×6 ×7 𝐴=0∙5×6 ×7 𝐴=21 𝑐𝑚 2

Example 2: Calculate the area

Example 2: Calculate the area ℎ=5 𝑎=8 b=4 𝐴= 1 2 ×5 (8+4) 𝐴=0∙5 ×5 ×12 𝐴=30 𝑐𝑚 2

Example 3: Calculate the area

Example 3: Calculate the area Area of square 𝐴=8 ×8 A = 64 𝑚 2 Area of semi circle The diameter is 8 m The radius is 4 m 𝐴= 1 2 𝜋 𝑟 2 𝐴= 1 2 ×𝜋 ×4 2 𝐴=25∙12 𝑚 2 Total = 89·12 𝒎 𝟐