a) Make a sketch. The hexagon is made up of 6 similar triangles, with the same base length of 2 metres. If you know any angle in the triangle, you can work out the height of the triangle, thus the area of all the triangles.

A regular hexagon has 6 equal sides, hence, if you put a centre in the hexagon, each of the 6 triangles will have an angle of 360/6.

From this, use trigonometric ratios, tan for instance to find the height.

b) Use the height of one triangle to find the slant length (or the hypotenuse of the half triangle), the latter is the radius of the circle then find its area.

EDIT: Mis-interpreted the definition of 'circumscribed'