Question

Радиус окружности делит хорду пополам. Найдите радиус,если хорда равна 6 см,а расстояние от центра откружности до хорды 4 см

Answer 1

Ответ:

Объяснение:если о делать хорду на пополам, то это пенпендикуляр. Значит проведём отрезок от центра круга до одной из концов хорды. И за и Пифагора получаем. 9+16=25 значит гипотинуза равна 5

Answer 2

Finding the Radius of a Circle that Divides a Chord in Half

To find the radius of a circle that divides a chord in half, we can use the following formula:

r = (c^2 + d^2) / (8d)

Where: - r is the radius of the circle - c is the length of the chord - d is the distance from the center of the circle to the chord

In this case, we are given that the length of the chord (c) is 6 cm and the distance from the center of the circle to the chord (d) is 4 cm. Let's substitute these values into the formula to find the radius (r).

r = (6^2 + 4^2) / (8 * 4)

Calculating this expression, we get:

r = (36 + 16) / 32

r = 52 / 32

r ≈ 1.625 cm

Therefore, the radius of the circle that divides the chord in half is approximately 1.625 cm.