What is the radius of a circle represented (y-5) ^2 + (x-14) ^2=16

Explanation: The formula for the equation of a circle is shown below.

(x - h) ² + (y - k) ² = r²

In the equation, (h, k) is the center of the circle and r is the radius.

To find the radius, we look at the original formula and notice that the radius squared is equal to 16 or r² = 16.

Simply take the square root of both sides to get r = 4.

So this circle has a radius of 4.