Explore the geometry of these dart and kite shapes!
Age 14 to 16 Challenge Level:
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 NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.