(Solved): The rectangular plate has a semi-circle cut out as shown. The \( x^{\prime} \) and \( y^{\prime} ...

The rectangular plate has a semi-circle cut out as shown. The \( x^{\prime} \) and \( y^{\prime} \) axes go through the centroid of the shaded area. Determine properties of the shaded area and work in units of inches but do not enter units in Canvas. Report your answers with 3 significant figures. For Figure 1, calculate the \( 2 \mathrm{nd} \) moment of the shaded area about the \( \mathrm{x}^{\prime} \) axis, \( \mathrm{I}_{\mathrm{x}^{\prime}} \) Question 4 \( 0 / 0 \). For Figure 1, calculate the 2 nd moment of the shaded area about the \( y^{\prime} \) axis, \( I_{y^{\prime}} \)