Question

Если вписанный угол равень60 градусов, то центральный угол, опирающийся на ту же дугу окружности равен 30 градусов?"

Answer 1

Нет, наоборот, центральный угол будет равен 120 градусам.

Answer 2

Answer:

If the inscribed angle is 60 degrees, then the central angle, which is subtended by the same arc of the circle, is 30 degrees.

Explanation:

In a circle, the measure of an inscribed angle is half the measure of its intercepted arc, and the measure of a central angle is equal to the measure of its intercepted arc.

Therefore, if the inscribed angle is 60 degrees, the central angle, subtended by the same arc, is half of that, which is 30 degrees.

This relationship is a fundamental property of circles and angles within them, and it holds true for any circle and its corresponding inscribed and central angles.

I hope this explanation helps! If you have any more questions or need further clarification, feel free to ask.