Question

Find the area of the shaded piece. Round the nearest HUNDREDTH, if needed. AC = 30 and m

Answer 1

The diagram below will be of help

Note: Area of a Sector Formula

`Area=(\theta)/(360)*\pi r^2`

Here

`\begin{gathered} r=15 \\ \theta=55^(\circ) \end{gathered}`

Substituting the parameters

`\begin{gathered} Area=(\theta)/(360)\pi r^(2) \\ Area=(55)/(360)*\pi*15^2 \\ Area=(275)/(8)\pi \end{gathered}`

There are two shaded portion (with the same Area)

Therefore, the area will be

`\begin{gathered} Area=2*(275)/(8)\pi \\ Area=(275)/(4)\pi \\ Area=215.9844949 \\ Area=215.98\text{ square unit \lparen to the nearest hundredth\rparen} \end{gathered}`

The answer is

`\begin{equation*} 215.98\text{ square unit \lparen to the nearest hundredth\rparen} \end{equation*}`