Understanding the Circle Equation | Explaining the Meaning of ‘r’ as the Radius

What is r in the circle formula?(x-h)² + (y-k)²= r²

In the equation you provided, (x-h)² + (y-k)²= r², ‘r’ represents the radius of the circle

In the equation you provided, (x-h)² + (y-k)²= r², ‘r’ represents the radius of the circle.

To understand this, let’s break down the equation:
– (x-h)² represents the difference between the x-coordinate of a point on the circle and the x-coordinate of the center of the circle, squared.
– (y-k)² represents the difference between the y-coordinate of a point on the circle and the y-coordinate of the center of the circle, squared.
– r² represents the square of the radius of the circle.

Essentially, for any point (x, y) on the circle, if you square the difference between its x-coordinate and the x-coordinate of the center (h), and square the difference between its y-coordinate and the y-coordinate of the center (k), the sum of those squares should be equal to the square of the radius (r²).

So, ‘r’ in the circle formula represents the length of the radius, which is the distance between the center of the circle (h, k) and any point on the circle.

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