Answer:
1.363
Step-by-step explanation:
Area of the sector is x/360 * pi * r^2
A = 40/360 * pi * 7*7
= 1/9 * 22/7 * 49
= 1/9 * 22 * 7
= 17.111111
Area of the triangle OMN = 1/2 ab sin C
so here A = 1/2 * 7 * 7 * sin 40
= 49/2 * sin 40
= 15.748296437320213494904763542728
so, Area of shaded segment is
= Area of sector - area of triangle
= 17.1111111 - 15.748296437320213494904763542728
= 1.363
