Cut 2 small circles of a radius of 2cm from a big circle with a radius of 4.5 cm. What is the area of the remaining shaded figure? The answer can be expressed in the form aπ. Find a, in decimal notation.

A =

The large circle has an area of 4.5^{2} ×
π and the smaller circles have a combined area of 2^{2}
× π × 2. Thus the shaded region has an area of

4.5^{2}
× π - 2^{2} × π × 2 =
12.25π cm^{2}.