Graph x^2+y^2=1

Problem

x2+y2=1

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=1 which gives r=√(,1)=1

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

4. Plot the four key points that are 1 unit away from the center: (1,0) (−1,0) (0,1) and (0,−1)

5. Draw a smooth curve connecting these points to form a circle with a radius of 1, known as the unit circle.

Final Answer

x2+y2=1* is a circle centered at *(0,0)* with radius *1

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