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Coursework Notes - Shape & Space

 

Length & Area

 

circle

arcs

segments

sectors

triangle

parallelogram

trapezium

 

 

Area of a circle

 

area circle

 

area of a circle

 

area circle#2

 

 

 

Arcs

 

arcs and segments

 

length of an arc

 

 

 

Sectors

 

area sector#1

 

 

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Segments

 

area segment

 

area segment of a circle

 

 

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Triangles

 

A triangle is incribed in a rectangle (height h width b). The perpendicular divides the shape.

 

It can be seen that each rectangle formed is composed of two triangles of equal area.

 

Hence the area of the original triangle is half that of the rectangle.

 

 

area of a triangle #1

 

 

The expression containing the sine is really the same as above.

 

 

area triangle #2

 

area triangle sine

 

 

Parallelograms

 

 

area parallelogram

 

 

Trapeziums

 

 

area trapezium

 

 

 

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