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:
[tex]Sector\text{ }Area=\frac{angle\text{ }of\text{ }sector}{360}\times\pi r^2[/tex]
From the given image, the following parameters can be seen:
[tex]\begin{gathered} angle\text{ }of\text{ }sector=46\degree \\ r=14 \end{gathered}[/tex]
Substitute these values into the formula:
[tex]\begin{gathered} Sector\text{ }Area=\frac{46}{360}\times\pi\times14^2 \\ Sector\text{ }Area=78.6794\text{ cm}^2 \end{gathered}[/tex]
The sector area is 78.6794 cm².
