Pion electromagnetic formfactor in the space-like region and $P$-phase $\delta^1_1(s)$ of $\pi\pi$ scattering from the value of the modulus of formfactor in the time-like region.

The problem of determining the pion electromagnetic formfactor F ( q 2 ) in the space-like region from the value of its modulus in the time-like region is solved by the formfactor analyticity. If F ( q 2 )has no zeroes in the complex plane then the formfactor in the space-like region is determined uniquely. If F ( q 2 )has zeroes in the complex plane q 2 it can be obtained in the space-like region within narrow limits using experimental data from the time-like region. The formfactor phase ϕ ( s ) which coincides with the P -wave phase δ 11 ( s ) of the ππ scattering is calculated. The value of the pion radius has been improved.