A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Stage: 4 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. More information on many of our other activities
can be found here.