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Can you write an equation?

Can you write an equation?-example-1
User Jboi
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The equation of the circle in the graph is (x + 2)² + (y - 4)² = 16

How to get the equation?

The equation of a circle of radius R, with a center at (a, b) is written as:

(x - a)² + (y - b)² = R²

Here we can see that the center of the circle is at the point (-2, 4), then the equation of the circle becomes:

(x + 2)² + (y - 4)² = R²

Now we can see that the radius of the circle (distance from the center to the edge) is R = 4 units, then we will get:

(x + 2)² + (y - 4)² = 4²

(x + 2)² + (y - 4)² = 16

User Yijia
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