Question

Длина хорды и Ее расстояние от центра окружности Помогите пожалуйста

Answer 1

 Хорда склеена из двух катетов прямоугольных треугольников с гипотенузой R и другим катетом r, где r - расстояние от хорды до центра

$l = 2\sqrt{R^2-r^2}$

Answer 2

Length of a Chord and its Distance from the Center of a Circle

The length of a chord in a circle is determined by the distance between its endpoints. The distance from the center of the circle to the chord can also be calculated. Let's explore these concepts further.

In a circle, a chord is a line segment that connects two points on the circumference of the circle. The length of a chord can be calculated using the distance formula or by applying the Pythagorean theorem, depending on the given information.

To calculate the length of a chord using the distance formula, you need the coordinates of the endpoints of the chord. The distance formula is given by:

Distance Formula: The length of a chord = √((x2 - x1)^2 + (y2 - y1)^2)

Here, (x1, y1) and (x2, y2) represent the coordinates of the endpoints of the chord.

Alternatively, if you know the radius of the circle and the central angle subtended by the chord, you can use the following formula to calculate the length of the chord:

Chord Length Formula: The length of a chord = 2 * radius * sin(angle/2)

In this formula, the radius is the distance from the center of the circle to any point on the circumference, and the angle is the central angle subtended by the chord.

The distance from the center of the circle to the chord can be calculated using the following formula:

Distance from Center to Chord Formula: The distance from the center to the chord = radius * cos(angle/2)

Here, the radius is the distance from the center of the circle to any point on the circumference, and the angle is the central angle subtended by the chord.

It's important to note that the length of a chord and its distance from the center of a circle can vary depending on the specific values of the radius and the central angle subtended by the chord.

Unfortunately, I couldn't find specific information or examples related to the length of a chord and its distance from the center of a circle in the search results. However, I hope the formulas provided above will help you in your calculations.

If you have any further questions or need clarification, please let me know!