Area - circles, sectors and segments

problem
Circular area

Age

7 to 11

Challenge level

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

Age

16 to 18

Challenge level

Investigate constructible images which contain rational areas.
problem
Curvy areas

Age

14 to 16

Challenge level

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

Age

14 to 16

Challenge level

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

Age

11 to 14

Challenge level

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

Age

14 to 16

Challenge level

How efficiently can you pack together disks?
problem
Gutter

Age

14 to 16

Challenge level

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

Age

14 to 16

Challenge level

Can you work out the shaded area surrounded by these arcs?
problem
Two shapes and printer ink

Age

14 to 16

Challenge level

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

Age

16 to 18

Challenge level

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