Graph x^2+y^2=16

Problem

x2+y2=16

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=16

r=√(,16)

r=4

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

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

Points: *(4,0),(−4,0),(0,4),(0,−4)

5. Sketch a smooth curve connecting these points to form a circle with a radius of 4

Final Answer

x2+y2=16⇒Circle with center *(0,0)* and radius *4

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