Question

which of the following could be used to calculate the area of the sector in the circle shown?

Answer 1

The area of a circle is:

$\pi r^2$

And a whole circle degrees is:

$\begin{gathered} 360º=2\pi \\ \pi=180º \\ So,\text{ to calculate radians we have to multiply the amount of degrees } \\ by\text{ }\pi\text{ divided by 180} \\ \\ So,the\text{ }area\text{ }is:\text{ } \\ \pi(15in)^2(\frac{40}{360}) \end{gathered}$