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=(\theta)/(360)*\pi r^2`

Given:

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

Therefore,

`A=(139^0)/(360^0)*\pi*4^2`

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}`