Perimeter of the locus represented by Arg(z+iz−i)=π4  is equal to ____( where i=−1 )

∵QPR=π4∴QCR=π2  Where ‘c’ is centre of circleLocus is the major segment of the circle with centre at C and radius 2    in ∆QCR ,r2+r2=2i2⇒r=2Perimeter =2πr−πr2=32πr=3π2