1Explain where the formula for the area of a circle comes from.
2What is the difference between the circumference and the area of a circle, and how do the units help?
3Why does doubling the radius of a circle multiply its area by four rather than by two?
4A circular pond of radius 14 m has a path 3.5 m wide all the way round it. Find the area of the path, showing every step.
5Why is it useful to know that a circle fills a little over three quarters of the square drawn around it?