Question

Хорда АВ стягивает дугу окружности в 112 Найдите угол между этой хордой и касательной к окружности проведённой через точку В (начертите чертёж, плиз!)

Answer 1

Если к точке В с центра круга провести радиус, то образуется прямой угол. Если рассмотреть треугольник АОВ, где т.О - центр круга, то мы знаем, что он равнобедренный, т.к. ОА = ОВ = Радиус. Зная, что угол АОВ = 112 градусов, узнаем, что угол ОВА равен 34 градусам, а угол между этой хордой и касательной к окружности проведённой через точку В равняется 90 - 34 = 56 градусов.

Answer 2

Calculating the Angle Between a Chord and a Tangent Line

To find the angle between the chord AB and the tangent line drawn through point B to the circle, we can use the following approach:

1. Identify the Relevant Geometry: - We have a circle with a chord AB and a tangent line drawn through point B.

2. Use Geometric Properties: - The angle between a chord and a tangent line drawn through the point of contact is half the angle subtended by the chord at the center of the circle.

3. Calculate the Angle: - To find the angle, we need to know the measure of the arc AB. Once we have the measure of the arc, we can use it to calculate the angle at the center of the circle, and then find the angle between the chord and the tangent line.

4. Drawing the Diagram: - Unfortunately, I'm unable to provide a diagram in this text-based format. However, you can visualize the circle, chord AB, and the tangent line drawn through point B to understand the geometry better.

Conclusion

The angle between the chord AB and the tangent line drawn through point B to the circle can be calculated using the geometric properties of circles and angles. If you have the measure of the arc AB, you can use it to find the angle at the center of the circle and then determine the angle between the chord and the tangent line.