(Solved): Find the area of a regular hexagon with radius length \( 8 \mathrm{~m} \). If necessary, write your ...

Find the area of a regular hexagon with radius length \( 8 \mathrm{~m} \). If necessary, write your answer in simplified radical form. A rectangle is placed around a semicircle as shown below. The width of the rectangle is \( 7 \mathrm{~cm} \). Find the area of the shaded region. Use the value \( 3.14 \) for \( \pi \), and do not round your answer. Be sure to include the correct unit in your answer.