Question

Find the area of the shaded region round to the nearest tenth

Answer 1

Answer: 818.4

Explanation:

Using the area of a sector formula, we get the area of the entire sector is
`(\pi)(27.8^(2))\left((150)/(360) \right)`.

Using the formula
`A=(1)/(2) ab \sin C`, we get the area of the triangle is
`(1)/(2)(27.8)(27.8)(\sin 150^(\circ))`.

So, the area of the shaded sector is
`(\pi)(27.8^(2))\left((150)/(360) \right)-(1)/(2)(27.8)(27.8)(\sin 150^(\circ)) \approx \boxed{818.4}`