
Area is the two dimensional space inside the boundary of a flat object. It is measured in square units.
The acre and the hectare are two common measurements used for the area of land. One hectare is about square kilometres and one acre is about square kilometres.
Name | Shape | Formula |
Square | ![]() | |
Rectangle | ![]() | |
Triangle | ![]() | |
Trapezium | ![]() | |
Parallelogram | ![]() | |
Circle | ![]() |
The video below shows some examples of calculations involving the area of a circle.
Find the area of the following parallelogram:
The following Phet simulation allows you to build different shapes and calculate the area and perimeter for the shapes: Phet: area builder.
Find the area of each of the polygons below:
The radius is half the diameter, therefore the radius is .
We first need to work out the height using the theorem of Pythagoras:
Now we can calculate the area:
We first need to work out the height using the theorem of Pythagoras:
Now we can calculate the area:
We first need to construct the vertical (or perpendicular) height. For an isosceles triangle if we construct the perpendicular height between the two equal sides then this line will bisect the third side.
Now we can calculate the height using the theorem of Pythagoras:
Now we can calculate the area:
We first construct the vertical (perpendicular) height. For an equilateral triangle the perpendicular height will bisect the third side.
Now we can calculate the height using the theorem of Pythagoras:
Now we can calculate the area:
We first find the height using the theorem of Pythagoras:
Now we can calculate the area:
Find an expression for the area of this figure in terms of and . The circle has a radius of . Write your answer in expanded form (not factorised).
Find an expression for the area of this figure in terms of and . The height of the figure is , and two sides are labelled as and . Write your answer in expanded form (not factorised).
Find an expression for the area of this figure in terms of and . The circle has a radius of . Write your answer in expanded form (not factorised).
Find an expression for the area of this figure in terms of and . The height of the figure is , and two sides are labelled as and . Write your answer in expanded form (not factorised).