A playground surface is formed by a square, JKLMJKLMJKLM, and a semi-circle. Side JK JK\,JK of the square is the diameter of the semi-circle. The radius of the semi-circle is 3 m. The entire playground is to be covered in safety padding. Each pack of padding covers 12 m2.
How many packs of padding will be needed? You must show your working.