Problem

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

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Answer

Step 3: Plot the circle using the equations, noting that t ranges from 0 to 2π. The circle is centered at the origin (0,0) and extends 5 units in all directions from the center.

Steps

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 2π. The circle is centered at the origin (0,0) and extends 5 units in all directions from the center.

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