Tuesday, June 12, 2007

Term 2 Week 8

This image is computer generated - which required the calculation of many thousands of areas of colour to render - the computer uses the same rules for area that we learn.

This week we move from calculating Perimeter to calculating area of shapes, and the the surface area of 3d shapes.

The secret is to know how to calculate the area of the standard shapes:
  • Squares, rectangles, Parallelograms and Rhombus all have Area = base x vertical height
  • Triangles have Area = 1/2 base x vertical height
  • Kites and Rhombus have Area = 1/2 diagonal1 x diagonal2 (rhombus area can be calculated either way)
  • Circles have Area = Pi x r2, Part circles (sector) have Area = angle of sector / 360 x Pi x r2

The area of any shape that is a combination of the above shapes can be calculated by adding up (or subtracting as required) the area of the simpler shapes within it.

Calculating the surface are of 3d shapes is the same - just work out each basic shape and add up the areas. The only trick is to be sure that all of the sides of the object are included.

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2 comments:

Anonymous said...

josh how would you find the area of a Trapezium?

Josh the Hammer said...

The area of a trapezium is this:

A = 1/2(a + b)h

Where a and b are the lengths of the top and bottom of the trapezium, adn h is the vertical height