Question 1165477
The circle hits the sides and itself has area of πr^2=225 π or 706.86 cm^2

Draw this and note the 10 triangles that may be made. We know that because the central angle of each of those is 36 degrees and 360/36=10.
They are 36 degrees, because the internal angles of the pentagon are each 108 degrees {(n-2)/n}*180, and the line from the center to the vertex of each angle bisects it, so that is where 54 degrees comes from.

The area of each triangle is (1/2) bh with base 12.5 (half the side's length)  and height 15 (the radius), so each triangle has area 93.75 cm^2. There are 10 of them, and the total area is 937.5 cm^2 
A