AC9M8M03
solve problems involving the circumference and area of a circle using formulas and appropriate units
Elaborations
- AC9M8M03_E1deducing that the area of a circle is between 2 radius squares and 4 radius squares, and using 3×radius^2 as a rough estimate for the area of a circle
- AC9M8M03_E2investigating the area of circles using a square grid or by rearranging a circle divided into smaller and smaller sectors or slices to resemble a close approximation of a rectangle
- AC9M8M03_E3applying the formulas for the area and circumference of a circle to solve practical problems, and using one of the measures of radius, diameter, circumference or area to deduce the value of the other measures; for example, determining the length of material needed to edge a round table, given its dimensions as the area of the tabletop
- AC9M8M03_E4exploring traditional weaving designs by First Nations Australians and investigating the significance and use of circles
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