AC9M8M03 Year 8 Mathematics

Content descriptor solve problems involving the circumference and area of a circle using formulas and appropriate units

Elaborations

• • Elaboration deducing that the area of a circle is between 2 radius squares and 4 radius squares, and using 3\timesradius^2 as a rough estimate for the area of a circle
• • Elaboration investigating 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
• • Elaboration applying 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
• • Elaboration exploring traditional weaving designs by First Nations Australians and investigating the significance and use of circles