Question

if four circles of radius one unit each are arranged such that a square is formed, when their centres are joined, then what is the area of the region lying trapped between the circles, but not part of any circle?

Answer 1

area between circles=area of sqare-area of four sectors(their area equals a circle area)
area of sqare=1×1=1
area of 4sectors(area of circle formed by joining them )=1pi(1×22/7)=22/7
area between circles=1-22/72.14