Question:
how do you find the area of the shape created by the
intersection of two congruent vesicas with lengths intersecting at 90
degrees?

Replies:
You will have to do some trigonometry/geometry depending upon the exact
shape of your figure, which I could not picture from your verbal
description, but the pertinent formulas you can find at:
http://www.intent.com/sg/vesica_area.html

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.