Two equal circles, each of radius \(\quantity{10}{cm}\), have centres at \(A\) and \(B\) respectively and the length of \(AB\) is \(\quantity{17.4}{cm}\). The circles intersect at \(C\) and \(D\). Find

  1. the angle \(CBA\) and express it in radians correct to three significant figures,
  2. the area of the minor sector \(BCD\),
  3. the area common to both circles.