Graph x^2+y^2=4

Problem

x2+y2=4

Solution

1. Identify the type of equation by comparing it to the standard form of a circle centered at the origin (h,k)=(0,0) which is x2+y2=r2

2. Determine the radius by setting r2=4 and taking the square root of both sides, which gives r=2

3. Locate the center of the circle at the origin (0,0) on the Cartesian plane.

4. Plot the four key points by moving r=2 units up, down, left, and right from the center: (0,2) (0,−2) (−2,0) and (2,0)

5. Draw a smooth curve connecting these points to form a circle with a radius of 2

Final Answer

x2+y2=2

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