Graph x^2+y^2=64

Problem

x2+y2=64

Solution

1. Identify the type of equation by comparing it to the standard form of a circle centered at the origin (h,k)=(0,0) 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=64

r=√(,64)

r=8

3. Locate the center of the circle at the origin (0,0)

4. Plot the four key points by moving the radius distance of 8 units up, down, left, and right from the center. These points are (0,8) (0,−8) (8,0) and (−8,0)

5. Sketch a smooth curve connecting these four points to form a circle.

Final Answer

x2+y2=64* is a circle with center *(0,0)* and radius *8

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