Question

Рівняння кола (елементи кола). ​

Answer 1

Ответ:

(x - a)² + (y - b)² = r²

Answer 2

Equation of a Circle (Elements of a Circle)

The equation of a circle is a mathematical representation that describes the relationship between the coordinates of points on the circle and the radius of the circle. The general form of the equation of a circle is:

x^2 + y^2 = r^2

Where: - (x, y) represents the coordinates of a point on the circle. - r represents the radius of the circle.

This equation states that for any point (x, y) on the circle, the sum of the squares of the x-coordinate and the y-coordinate is equal to the square of the radius.

It's important to note that the center of the circle is represented by the point (0, 0) in this equation. If the center of the circle is at a different point (h, k), the equation of the circle can be written as:

(x - h)^2 + (y - k)^2 = r^2

Where: - (h, k) represents the coordinates of the center of the circle.

This form of the equation allows for circles with centers at different points in the coordinate plane.

The equation of a circle is a fundamental concept in geometry and has various applications in mathematics, physics, and engineering.