Question

Перпендикулярные хорды в окружности делят друг друга на отрезки равной 5 см и 7см найдите состояние от центра до каждой хорды

Answer 1

Проведем из центра окружности перпендикулярные отрезки к каждой хорде. Перпендикуляр, проведенный из центра окружности к хорде, делит эту хорду и стягиваемые ею дуги пополам.Этими перпендикулярами хорды делятся на две равные части по 5 см.Эти отрезки с частями хорд от точки пересечения хорд до точки пересечения с перпендикулярами из центра окружности образуют квадрат со стороной 1 см. Это расстояние и будет расстоянием до каждой хорды. 

Answer 2

#### Perpendicular Chords in a Circle When two chords in a circle are perpendicular to each other, they divide each other into segments of equal length. In this case, the two chords divide each other into segments of 5 cm and 7 cm. To find the distance from the center of the circle to each chord, we can use the following formula: **The distance from the center of a circle to a chord is equal to half the product of the lengths of the segments into which the chord divides the diameter of the circle.** Let's denote the distance from the center of the circle to each chord as 'r'. The lengths of the segments into which the chords divide the diameter are 5 cm and 7 cm. Therefore, we can calculate the value of 'r' using the formula: r = (1/2) * √(5 cm * 7 cm) Calculating this expression, we find: r = (1/2) * √(35 cm^2) r = (1/2) * √35 cm So, the distance from the center of the circle to each chord is equal to half the square root of 35 cm. Please note that the above calculation assumes that the chords are perpendicular to each other and that the lengths of the segments are accurate. If there are any additional constraints or information, please let me know, and I'll be happy to assist you further.