Question

A circle is inscribed in a regular hexagon. The hexagon has a perimeter of 18 radical 3. G is the center of the polygon and the center of the circle.
a. Find the radius of the circle.
b. Find the radius of the hexagon. (The radius of a polygon is the segment that joins the center of the polygon with a vertex.)
c. Find the area of the hexagon.
Express your answers as either a reduced fraction or a radical in simplest form. (Not a decimal).
Help me with this please!