Question

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

Answer 1

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta\pi r^2}{360}\qquad \begin{cases} \theta=\textit{angle in degrees}\\ r=radius \end{cases}$

notice your picture, you have both, so, just plug them in

Answer 2

Answer:

Option C $25.64\ in^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=7\ in$

substitute

$A=\pi(7)^{2}=49\pi\ in^{2}$

Remember that

$360$ degrees subtends the complete area of the circle

so

by proportion

Find the area of the blue sector for an angle of $60$ degrees

$\frac{49\pi}{360}=\frac{x}{60}\\ \\x={49\pi*60/360$

$x=25.64\ in^{2}$