Question

The equation for the circle below is x2 + y2 = 25. What is the length of the circle's radius?

Answer 1

5 is the correct answer.

Answer 2

The radius of the circle is 5 units.

Explanation:

The equation is given as :

`x^(2)+y^(2)=25`

Now the equation form for a circle centered at (h,k) and radius r is given as :

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

We can say that -

`x^(2)+y^(2)=25` is same like
`(x-0)^(2)+(y-0)^(2) =25`

Now we have a circle with center at the origin (0, 0)

And the radius is given as
`√(25)` = 5

Hence, the radius of the circle is 5 units.