Q. 88 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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 .