  The angular resolution of an extensive air shower (EAS) array plays a
critical role in determining its sensitivity for the detection of point
$\gamma$-ray sources in the multi-TeV energy range. The GRAPES-3 an EAS array
located at Ooty in India (11.4$^{\circ}$N, 76.7$^{\circ}$E, 2200 m altitude) is
designed to study $\gamma$-rays in the TeV-PeV energy range. It comprises of a
dense array of 400 plastic scintillators deployed over an area of 25000 m$^2$
and a large area (560 m$^2$) muon telescope. A new statistical method allowed
real time determination of the propagation delay of each detector in the
GRAPES-3 array. The shape of shower front is known to be curved and here the
details of a new method developed for accurate measurement of the shower front
curvature is presented. These two developments have led to a sizable
improvement in the angular resolution of GRAPES-3 array. It is shown that the
curvature depends on the size and age of an EAS. By employing two different
techniques, namely, the odd-even and the left-right methods, independent
estimates of the angular resolution are obtained. The odd-even method estimates
the best achievable resolution of the array. For obtaining the angular
resolution, the left-right method is used after implementing the size and age
dependent curvature corrections. A comparison of the angular resolution as a
function of EAS energy by these two methods shows them be virtually
indistinguishable. The angular resolution of GRAPES-3 array is 47$^{\prime}$
for energies E$>$5 TeV and improves to 17$^{\prime}$ at E$>$100 TeV and finally
approaching 10$^{\prime}$ at E$>$500 TeV.
