Question

What is the approximate area of the shaded sector of the circle?

Answer 1

The formula for the area(A) of the sector is,

$A=\frac{\theta}{360}\times\pi r^2$

Given:

$\begin{gathered} \theta=139^0 \\ r=4m \end{gathered}$

Therefore,

$A=\frac{139^0}{360^0}\times\pi\times4^2$

Simplify

$\begin{gathered} A=\:19.40806\approx19.41\text{ \lparen2 decimal places\rparen} \\ \therefore A=19.41m^2 \end{gathered}$

Hence,

$A=19.41m^2\text{ \lparen OPTION D\rparen}$