Support and Resources for the Domestic Energy Advisor

Geometric shapes

As an energy assessor you will sometimes have to calculate the areas of some awkward shapes and the best way to deal with these is to split them up into more recognisable shapes, such as the triangle, rectangle, and circle.

For example the floor area shown below:

To more easily determine the area of this shape we have divided ‘Area A’ into three sections, as shown on ‘Area B’

This gives us two rectangles and a triangle to calculate.

To determine the area of the rectangle: ( Using the example dimensions )	To determine the area of the triangle: ( Using the example dimensions )

Width	Depth	Area of Rectangle
A	B	C ( A x B )
9.562	10.030	95.907
8.096	6.580	53.272
Total for both rectangles		149.179

Base

Height

Area of Triangle

C ( A x B / 2 )

8.096

3.450

13.966

149.179

13.966

163.145 sq m.

Area and perimeter of circles

To determine the area and / or perimeter of a circular area you need to measure the dimension of the radius or, more usually, the diameter.

Assuming the diameter to be 5.600m the calculation is as below:

Diameter

Radius

Area

Perimeter

A

B    ( A / 2)

C     ( 3.142 x B x B )

D     ( 2 x 3.142 x B )

5.600

2.800

24.633 sq m

17.595m

You can also use the on-line calculator to help you with your area measurements.

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