shape & space : length & area
 

circle

sectors

 

 

 

Area of a circle

 

area circle

 

area of a circle

area circle#2

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Arcs

 

arcs and segments

 

length of an arc

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Sectors

area sector#1

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Segments

 

area segment

 

area segment of a circle

 

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Triangles

When a triangle is incribed in a rectangle of height h and 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

 

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Parallelograms

 

area parallelogram

 

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Trapeziums

 

area trapezium

 

 

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