Question

The circle below is centered at the origin and has a radius of 5 what is it’s equation

Answer 1

Answer:

x^2 + y^2 = 5^2

or x^2 +y^2 = 25

Step-by-step explanation:

The equation of a circle is usually written in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

The center is at the origin so (h,k) = (0,0) and  the radius is 5 so r=5

x^2 + y^2 = 5^2

or x^2 +y^2 = 25

Answer 2

Answer:

x² + y² = 25

Step-by-step explanation:

(x - h)² + (y - k)² = r²

Center ( h⁰, k⁰)  

radius = 5/r

(x - 0)² + (y - 0)² = 5² ⇒ x² + y² = 25

This will be your answer : x² + y² = 25