Question

This circle is centered at the origin, and the length of its radius is 5. What isthe equation of the circle?-1010--10-O A. x² + y² = 510B. (x-5)2 + (y- 5)2 = 25OC. x² +2²=5²O D.+-1

Answer 1

Given:

The center of the circle is the origin and the radius is 5.

Required:

Find the equation of the circle.

Explanation:

The equation of the circle when the center is (a,b) and the radius is r is given as:

$(x-a)^2+(y-b)^2=r^2$

The center (a,b) = (0,0)

radius r = 5

So the equation of the circle is:

$\begin{gathered} (x-0)^2+(y-0)^2=(5)^2 \\ x^2+y^2=25 \end{gathered}$

Final Answer:

Option C is the correct answer.