Ewe’ll Love this Lawn! Charlie’s lawn covers an equilateral triangle
of side length 20 metres. He doesn’t enjoy
mowing and so he borrows 3 sheep, tying
one to a post at each corner, using ropes 10
metres long, so that they can graze the lawn
for him.
He decides to create a circular flower bed in
the centre of the lawn. What is the diameter
of the largest flower bed he could have that
is still safe from the sheep?
How much lawn will he actually need to
mow? Give your answers to 3dp.