Chapter MPS, Problem 10.4MPS

(a)

To determine

To Find: The Equation of area in which people can access WiFi.

Answer to Problem 10.4MPS

  $x^2+y^2=3600$

Explanation of Solution

Given:

  $\begin{array}{l}\left(h,k\right)=\left(0,0\right)\\ r=60m\end{array}$

Formula Used:

  ${\left(x-k\right)}^2+{\left(y-k\right)}^2=r^2$

Calculation:

  $\begin{array}{l}\left(h,k\right)=\left(0,0\right)\\ r=60m\\ {\left(x-k\right)}^2+{\left(y-k\right)}^2=r^2\\ \text{⇒}{x}^2+y^2={\left(60\right)}^2\\ \text{⇒}{x}^2+y^2=3600\end{array}$

Conclusion:

Thus, the equation of region is $x^2+y^2=3600$ .

(b)

To determine

To Draw: The graph of parabola.

Explanation of Solution

Given:

  $\begin{array}{l}\left(h,k\right)=\left(0,0\right)\\ r=60m\end{array}$

Formula Used:

  ${\left(x-k\right)}^2+{\left(y-k\right)}^2=r^2$

Calculation:

  $\begin{array}{l}\left(h,k\right)=\left(0,0\right)\\ r=60m\\ {\left(x-k\right)}^2+{\left(y-k\right)}^2=r^2\\ \text{⇒}{x}^2+y^2={\left(60\right)}^2\\ \text{⇒}{x}^2+y^2=3600\end{array}$

  

Conclusion:

Thus, the graph has been drawn.