Question

This circle is centered at the origin, and the length of its radius is 5. What is

the equation of the circle?
-10
O
A.
10
-10
OB.X²+²=5²
C. x² +²2²=5
10
D. (x-5)2 + (-5)2 = 25

Answer 1

So the correct answer is option D: (x-5)² + (-5)² = 25.

Explanation:

The equation of a circle centered at the origin with a radius of 5 is given by the equation:

x² + y² = r²

where r is the radius of the circle. In this case, r is 5. Therefore, the correct equation of the circle is:

x² + y² = 5²

which simplifies to:

x² + y² = 25

So the correct answer is option D: (x-5)² + (-5)² = 25.