Solution:
Given;
[tex]x^2+y^2=5625[/tex]
Plotting the graph, we have;
Thus, the intercepts are;
[tex]\begin{gathered} X\text{ intercepts}:(75,0),(-75,0) \\ \\ Y\text{ intercepts}:(0,75),(0,-75) \\ \end{gathered}[/tex]
(b) The radius, r, in miles is the distance from the center to the circumference;
[tex]\begin{gathered} O(0,0),C(0,75) \\ \\ r=\sqrt{(75-0)^2+(0-0)^2} \\ \\ r=\sqrt{75^2} \\ \\ r=75miles \end{gathered}[/tex]
(c) The area, A, of the circular region is;
[tex]\begin{gathered} A=\pi r^2 \\ \\ A=\pi(75)^2 \\ \\ A=17671.46miles^2 \end{gathered}[/tex]
Area= 17,671.46 square miles
