Graph x^2+y^2=25

Problem

x2+y2=25

Solution

1. Identify the type of equation by comparing it to the standard form of a circle equation, (x−h)2+(y−k)2=r2

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

3. Calculate the radius r by taking the square root of the constant on the right side of the equation, r2=25

4. Find the radius value: r=√(,25)=5

5. Plot the center at (0,0) and mark four points exactly 5 units away in the cardinal directions: (5,0) (−5,0) (0,5) and (0,−5)

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

Final Answer

x2+y2=25⇒Circle with center *(0,0)* and radius *5

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