Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.

Solution:

The equation of a circle is given as:

Where,

(a, b) is the centre of the circle

r is the radius

We have the centre of the circle (-27, 120)

Therefore,

a = -27

b = 120

Given that, it passes through origin. which means, (x, y) = (0, 0)

Substitute (a, b) = (-27, 120) and (x, y) = (0, 0) in eqn

Substitute = 15129 and (a, b) = (-27, 120) in eqn

Thus the equation of circle is found

-2

7 - 9 = -2

reversed:

-2 + 9 = 7