What is the area of the region determined by the points outside a triangle with perimeter length π where none of these points has a distance greater than 1 to any corner of the triangle?<spanclass=′latex−bold′>(A)</span>4π<spanclass=′latex−bold′>(B)</span>3π<spanclass=′latex−bold′>(C)</span>25π<spanclass=′latex−bold′>(D)</span>2π<spanclass=′latex−bold′>(E)</span>23π