Nathaniel has designed a new logo for his school’s math club. When drawing his logo, he starts with an equilateral triangle, labelled \(\triangle PQR\), with sides of length \(20\) cm. He then draws in minor arc \(PQ\), which is an arc of the circle with centre \(R\) and radius \(RQ\), followed by minor arc \(PR\), which is an arc of the circle with centre \(Q\) and radius \(QP\), and then minor arc \(RQ\), which is an arc of a circle with centre \(P\) and radius \(PR.\)
He wants to colour the region bounded by each arc but outside of \(\triangle PQR\). Determine the total area to be coloured, correct to one decimal place.
Note: You may use the fact that an altitude in an equilateral triangle bisects the side it is drawn to.