Hi! Please walk me through this question and give a correct solution. Thanks!

Question

Given the circle (x-6)^2+(y+7)^2 =225. Determine the center, length of the radius, and exact circumference.

Answer 1

The standard formula for the circle is (x-x_o)² + (y-y_o)² = r²

Where

x_o is the x coordinate of the center & y_o is the y coordinate of the center & r is the radius

So,

(6,-7) is the center of the circle and the radius is sqrt(225) = 15

Therefore;

the circumference is 2*pi*r = 2*(3.14)*15 = 30pi = 94.2