The angle at the centre is 360 degrees. The figure is made up of 11 isosceles triangles with vertex angle 360/11 and base = 27.272727 = 300/11 approx. The area of each isosceles triangle can be found by bisecting the vertex angle so that we have two right triangles back to back. The bisected angle is 180/11 degrees, and the bisected base is 150/11. The height h of the isosceles triangle is given by 150/(11h)=tan(180/11), h=150/(11tan(180/11)), area=(150/11).150/(11tan(180/11)), so total area of polygon is 150²/(11tan(180/11))=6966.18 sq unit approx.