Find the Properties x^2+y^2=25

Problem

x^2+y^2=25

Solution

1. Identify the type of equation by comparing it to the standard form of a circle centered at the origin, which is x^2+y^2=r^2

2. Determine the center by observing that there are no horizontal or vertical translations applied to x or y

3. Calculate the radius by taking the square root of the constant on the right side of the equation.

4. Find the diameter by multiplying the radius by 2

5. Identify the intercepts by setting x=0 to find yintercepts and y=0 to find xintercepts.

Final Answer

Center: *(0,0), Radius: *5, Diameter: *10, x-intercepts: *(±5,0), y-intercepts: *(0,±5)

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