Q. 89 - 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 $s\approx 14.661$ yard and $A\approx 87.965$ square yard .

Step 1. Given information

Step 2. Calculation

Here the length is -

$s=r \theta$

   $=12\times 70\times \frac{\mathrm{\pi }}{180}$

   $\approx 14.661$

Now the area is -

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

     $=\frac{1}{2}\times {\left(12\right)}^2\times 70\times \frac{\mathrm{\pi }}{180}$

     $\approx 87.965$

Therefore, length $s$ is $14.661$ yard and the area $A$ is $87.965$ square yard .