Q. 90 - 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 $s\approx 7.854$ cm and $A\approx 35.343$ square cm .

Step 1. Given information

Step 2. Calculation

Here the length is -

$s=r \theta$

   $=9\times 50\times \frac{\mathrm{\pi }}{180}$

   $\approx 7.854$

Now the area is -

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

    $=\frac{1}{2}{\left(9\right)}^2\times 50\times \frac{\mathrm{\pi }}{180}$

     $\approx 35.343$

Therefore, length $s$ is $7.854$ cm and the area $A$ is $35.343$ square cm .