Reuleaux Pentegram: how to find area of reg. figure

[bulldog106]

Hi, I am wondering how to find the area of a pointed regular Reuleaux Pent.
Like:

Thank you,
Bull

 

[Deleted member 4993]

Re: Reuleaux Pent. Area

Hi, I am wondering how to find the area of a pointed regular Reuleaux Pent.
Like:

Thank you,
Bull

Please share with us your work/thoughts so that we know where to begin.

Hints:

starting with a regular pentagon - How do you construct a Reuleaux Pentagon?

What are the radii? What are the angles of each arc?

What is the area of the regular pentagon that you started with?