Question

Find the length $s$and area $A$. Round answers to three decimal places.

Short answer

The solution is $s\approx 2.094$meter and$A\approx 4.189$square meter.

Step-by-step solution

Step 1. Given information 

Step 2. Calculation 

Here the length is -

$s=r\theta$

$=4\times \frac{\mathrm{\pi }}{6}$

$\approx 2.094$

Now the area is -

$A=\frac{1}{2}{r}^2\theta$

$=\frac{1}{2}{\left(4\right)}^2\times \frac{\mathrm{\pi }}{6}$

$\approx 4.189$

Therefore, length $s$is $2.094$meter. and the area $A$is $4.189$square meter .