What area do these intersecting circles share?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

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.