Graph x^2+y^2=36

Problem

x^2+y^2=36

Solution

1. Identify the type of equation. The equation x^2+y^2=36 is in the standard form of a circle centered at the origin, which is x^2+y^2=r^2

2. Determine the center of the circle. Since there are no horizontal or vertical shifts (no h or k values subtracted from x or y, the center is at (0,0)

3. Calculate the radius. The constant on the right side represents r^2

r^2=36

r=√(,36)

r=6

4. Plot the key points. Starting from the center (0,0) move 6 units in each cardinal direction to find the intercepts: (6,0) (−6,0) (0,6) and (0,−6)

5. Sketch the graph. Draw a smooth curve connecting these four points to form a circle with a radius of 6

Final Answer

x^2+y^2=36⇒Circle with center *(0,0)* and radius *6

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