Graph x^2+y^2=49

Problem

x2+y2=49

Solution

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

2. Determine the radius by taking the square root of the constant on the right side of the equation.

r2=49

r=√(,49)

r=7

3. Locate the center of the circle, which is at the origin (0,0) because there are no horizontal or vertical translations applied to x or y

4. Plot the four key points on the axes by moving 7 units from the center in each cardinal direction: (7,0) (−7,0) (0,7) and (0,−7)

5. Sketch a smooth curve connecting these points to form a circle with a radius of 7

Final Answer

x2+y2=49* is a circle centered at *(0,0)* with radius *7

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