A circle is described by the parametric equations: \(x = 5cos(t)\) and \(y = 5sin(t)\). What is the radius of the circle, and graph the circle.
Answer
Step 3: Plot the circle using the equations, noting that \(t\) ranges from 0 to \(2\pi\). The circle is centered at the origin (0,0) and extends 5 units in all directions from the center.
Step 1 ：Step 1: Recognize the equations as defining a circle with radius \(r\) and center at the origin (0,0). The general form for such a circle is \(x = rcos(t)\) and \(y = rsin(t)\).
Step 2 ：Step 2: Compare the given equations with the general form to find the radius \(r\). Here, \(r = 5\).
Step 3 ：Step 3: Plot the circle using the equations, noting that \(t\) ranges from 0 to \(2\pi\). The circle is centered at the origin (0,0) and extends 5 units in all directions from the center.
