Question

Riding the equation of a circle centered at the origin given it’s radius or appoint on the circle

Answer 1

The equation of a circle with center (h, k) and radius r is given by,

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

Given,

Center = (0, 0)

So, h = 0, k = 0

Radius = 7

So, r = 7

Now, we can write the equation:

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ x^2+y^2=7^2 \\ or \\ x^2+y^2=49 \end{gathered}$Answer$x^2+y^2=49$