This circle is centered at the point (2,6), and the length of its radius is 4. What is the equation of the circle?

The equation of the circle with centre (h,k) and radius (r) can be written as :-

So, we are given with :-

Now, by putting their value we can write the equation as :-

Expanding this, we get :-

Rearranging and by subtracting by 16 from both sides we got standard polynomial as -

STANDARD FORM:

We are given r, therefore, we must substitute the given point and the center into the standard form.

So, The equation of the circle is:

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