Question

Complete the equation of this circle:(x - 2)² + (y - {?})² = {?}

Answer 1

Given -

To Find -

Missing Values =?

(x - 2)² + (y - {?})² = {?}

Step-by-Step Explanation -

As we know the general equation of a circle:

(x - x₁)² + (y - y₁)² = R²

So,

Here (x₁, y₁) are the coordinates of the center of the circle

and R = Distance of center of the circle.

So,

As shown in the diagram:

x₁ = 2

y₁ = -2

R = 3

Now, Putting all these values in the formula =, we get:

(x - 2)² + (y - [-2])² = 3²

(x - 2)² + (y + 2)² = 9

Final Answer -

(x - 2)² + (y + 2)² = 9