Q. 87 - 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 $s\approx 2.094$ feet and $A\approx 2.094$ square feet.

Step 1. Given information

Step 2. Calculation

Here the length is -

$s=r \theta$

   $=2\times \frac{\mathrm{\pi }}{3}$

   $\approx 2.094$

Now the area is -

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

    $=\frac{1}{2}{\left(2\right)}^2\frac{\mathrm{\pi }}{3}$

     $\approx 2.094$

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