Question

Найдите расстояние от центра окружности до хорды BD, если радиус BO равен 8 см и он образует с хордой угол в 30 градусов.

Answer 1

Сторона лежащая против 30 градусов в прямоугольном треугольнике равна половине гипотенузы. Значит, расстояние от центра до хорды равно 4 см( фоткал с тапка, надеюсь рисунок поймешь)

Answer 2

Calculation of the Distance from the Center of a Circle to Chord BD

To find the distance from the center of a circle to chord BD, we can use the following formula:

Distance from the center of the circle to chord BD = Radius of the circle * sin(angle between the radius and the chord)

Given that the radius of the circle (BO) is 8 cm and it forms an angle of 30 degrees with chord BD, we can substitute these values into the formula.

Distance from the center of the circle to chord BD = 8 cm * sin(30 degrees)

To calculate the sine of 30 degrees, we can use a scientific calculator or refer to a trigonometric table. The sine of 30 degrees is 0.5.

Distance from the center of the circle to chord BD = 8 cm * 0.5 = 4 cm

Therefore, the distance from the center of the circle to chord BD is 4 cm.