Find the area of the shaded sector. Round to the nearest tenth. Please help.

The formula for area of a sector is...
A = [tex]\frac{1}{2} r^{2}[/tex]θ
NOTE θ is converted from degree to radian
θ = 167 × [tex]\frac{\pi }{180}[/tex]
θ = [tex]\frac{167\pi }{180}[/tex]
so...
A = [tex]\frac{1}{2}(17.8)^{2} (\frac{167\pi }{180})[/tex]
A = (1/2)(316.84)(2.9146)
A = 158.42 * 2.9146
A = 461.7
Hope this helped!