Question

Follow the steps to find thearea of the shaded region.First, use the formulabelow to find the areaof the whole sector.Sector Area-

Answer 1

GIVEN

A circle with a radius of 14 cm with a sector of angle of 46 degrees.

SOLUTION

The formula given to calculate the area of a sector is:

`Sector\text{ }Area=\frac{angle\text{ }of\text{ }sector}{360}*\pi r^2`

From the given image, the following parameters can be seen:

`\begin{gathered} angle\text{ }of\text{ }sector=46\degree \\ r=14 \end{gathered}`

Substitute these values into the formula:

`\begin{gathered} Sector\text{ }Area=(46)/(360)*\pi*14^2 \\ Sector\text{ }Area=78.6794\text{ cm}^2 \end{gathered}`

The sector area is 78.6794 cm².