Graph x^2+y^2=81

Problem

x2+y2=81

Solution

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

2. Determine the radius by setting r2=81 and taking the square root of both sides.

r=√(,81)

r=9

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

4. Plot the four key points by moving 9 units in each cardinal direction from the center: (9,0) (−9,0) (0,9) and (0,−9)

5. Draw a smooth curve connecting these points to form a circle with a radius of 9

Final Answer

x2+y2=81* is a circle with center *(0,0)* and radius *9

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