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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

This circle is centered at the origin and the length of its radius is 5 What isthe equation of the circle101010O A x y 510B x52 y 52 25OC x 25O D1 class=

Respuesta :

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:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

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

radius r = 5

So the equation of the circle is:

[tex]\begin{gathered} (x-0)^2+(y-0)^2=(5)^2 \\ x^2+y^2=25 \end{gathered}[/tex]

Final Answer:

Option C is the correct answer.

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