What is the area of the quadrilateral APOQ? Working on the building
blocks will give you some insights that may help you to work it
Six circular discs are packed in different-shaped boxes so that the
discs touch their neighbours and the sides of the box. Can you put
the boxes in order according to the areas of their bases?
Given a square ABCD of sides 10 cm, and using the corners as
centres, construct four quadrants with radius 10 cm each inside the
square. The four arcs intersect at P, Q, R and S. Find the area
enclosed by PQRS.
The trick with this question was not to make life difficult by
working values out. As a consequence some of you managed much more
elegant solutions than others. Here is an example based on that
offered by Shu Cao (very well done). Jeongmin Lee, Rebecca Bartram
(The Mount School, York) and Andrei Lazanu (School 205, Bucharest)
should also be congratulated.