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samgirl5
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#1
Report Thread starter 17 years ago
#1
I Am stumped!

i have this maths coursework, where theres a fencing 'problem' basically i need to know how to work out the area of octagons, pentagons, hexagons etc. i just cant do it!

please help me!


+ what has more area? a circle or a square/rectangle?

HELP ME!

luv ya

sam

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PQ
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#2
Report 17 years ago
#2
Start simple...with the shape with the smallest number of sides - the triangle. Work out the lengths of the sides of a few different types of triangle (right angle, isosoles and equilateral) and find the area (area of a triangle = (height * base)/2 - start with the right angle triangle because that's easiest - the other 2 you will need to split into 2 right angled triangles and use trig to find the height to find the area.

Do the same thing with 4 sided shapes - rectangles, squares, parallelograms (split into triangles to find the area) if you're feeling clever etc etc

By this point you should see a pattern emerging for each No of sides - ie a certain type of shape will have the greatest area.

Predict this and then work out the area for some shapes with more sides - pentagon, hexagons octagons etc (by splitting into triangles)...and see if changing the number of sides increases the area you can get.

http://www.rose.edu/faculty/gjackson/formula.htm
Contains all the formulae you should need for areas and perimeters
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