[Azland]

The diagram shows a rhombus ABCD. Points P and Q lie on the diagonal AC such that BPD is an arc of a circle with centre C and BQD is an arc of a circle with centre A. Each side of the rhombus has length 5 cm and angle BAD = 1.2 radians.

Find the area of the shaded region BPDQ.
Find the length of PQ.

For the first Question, I get that I have to find the total area of the two sectors and subtract the triangles. However there's some overlap between the sectors, how do I figure out how much?

I'm totally lost on the second part aswell. I tried splitting APB into a right angled triangle with AP and the midpoint of AB to get the length of AP but not sure what to do after that.

Someone help with steps if possible please.

[thomaskurian89]

For the first question, add the areas of the 2 sectors and subtract the area of the rhombus. For the second question, add the radii of the sectors and subtract the length of the diagonal AC.

[Azland]

Thanks!

Any ideas on the second quest?