Question

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

Answer 1

The formula for area of a sector is...

A = $\frac{1}{2} r^{2}$θ

NOTE θ is converted from degree to radian

θ = 167 × $\frac{\pi }{180}$

θ = $\frac{167\pi }{180}$

so...

A = $\frac{1}{2}(17.8)^{2} (\frac{167\pi }{180})$

A = (1/2)(316.84)(2.9146)

A = 158.42 * 2.9146

A = 461.7

Hope this helped!