Question

Which one of the following equations represents a circle with its center at (0,0) and a radius of 4?

A. x/2 + y/2 = 4
B. x²+y = 16
C. x²+y² = 16
D. x²+y²=4

Answer 1

The correct equation for a circle with its center at (0,0) and a radius of 4 is C. x² + y² = 16, based on the standard formula for a circle.

Step-by-step explanation:

The equation that represents a circle with its center at (0,0) and a radius of 4 is given by the formula of a circle: (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is the radius. Applying this formula, the equation becomes x² + y² = 4², which simplifies to x² + y² = 16. Therefore, the correct answer is C. x² + y² = 16.