Area - circles, sectors and segments

How could you find out the area of a circle? Take a look at these ways.

Investigate constructible images which contain rational areas.

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

What is the same and what is different about these circle questions? What connections can you make?

Weekly Problem 39 - 2008
How big is the angle between the hour hand and the minute hand of a clock at twenty to five?

How efficiently can you pack together disks?

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?

Can you work out the shaded area surrounded by these arcs?

If I print this page which shape will require the more yellow ink?

Draw three equal line segments in a unit circle to divide the circle into four parts of equal area.