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 area of a square inscribed in a circle with a unit radius is, satisfyingly, $2$.
What is the area of a regular hexagon inscribed in a circle with a unit radius?
What is the area of an equilateral triangle inscribed in a circle with a unit radius?