Graph x^2+y^2=100

Problem

x2+y2=100

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 taking the square root of the constant term on the right side of the equation.

r2=100

r=√(,100)

r=10

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

4. Plot the four key points by moving the radius distance of 10 units up, down, left, and right from the center.

Points: *(10,0),(−10,0),(0,10),(0,−10)

5. Draw a smooth curve connecting these points to form a circle with a radius of 10

Final Answer

x2+y2=100* is a circle with center *(0,0)* and radius *10

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