# Circle-ception: The next level

Geometry Level 4

A sector of a circle of radius $$10$$ and subtended angle $$60°$$ has a circle inscribed in it - its diameter can be written as $$\frac { a }{ b }$$, where $$a$$ and $$b$$ are co-prime integers.

Find the value of$\left\lceil \frac { { a }^{ 2 }b^{ 2 } }{ a+b } \right\rceil$

×