Graph r=2

Problem

r=2

Solution

1. Identify the type of coordinate system. The equation is given in polar coordinates, where r represents the radial distance from the origin (the pole) and θ represents the angle.

2. Analyze the equation. The equation r=2 states that the distance from the origin is always constant at 2 units, regardless of the value of the angle θ

3. Determine the geometric shape. In a two-dimensional plane, the set of all points at a constant distance from a fixed center point is a circle.

4. Describe the graph. The graph is a circle centered at the origin (0,0) with a radius of 2

Final Answer

r=2⇒x2+y2=4

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