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 =
`(1)/(2) r^(2)`θ

NOTE θ is converted from degree to radian

θ = 167 ×
`(\pi )/(180)`

θ =
`(167\pi )/(180)`

so...

A =
`(1)/(2)(17.8)^(2) ((167\pi )/(180))`

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

A = 158.42 * 2.9146

A = 461.7

Hope this helped!