Question

The equation of a circle C, with centre O, is:
x2 + y2 = 225
(a) Find the coordinates of the centre O.
(b) Find the radius of C.

Answer 1

Answer:

a) The center coordinates O is  (0,0)

b) The radius C = 15

Step-by-step explanation:

The given equation of the circle is : $x^{2}  +  y^{2}  = 225$

Now, general form of the equation of the circle is:

$(x-h)^{2}  + (y - k)^{2}   = r^{2}$

where (h,k) are the center co -ordinates and r is the radius of the circle.

Comparing the general equation with the given equation, we get

$(x-0)^{2}  + (y - 0)^{2}   = (15)^{2}$

So, here the center coordinates (h,k) = (0,0)

And the radius of the given circle is r = 15