Respuesta :

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!