Question

Радиус окружности равен 2,5 см. Найдите ее диаметр. Может ли ее хорда быть равной 6 см?

Answer 1

Диаметр состоит из двух радиусов, т.е. 2R=d, так как радиус известен, 2,5см, то d=2,5*2=5.
Хорда равная 6см быть не может, так как диаметр, это и есть самая большая хорда, а так как диаметр 5 см, то 6 быть не может.

Answer 2

Calculating the Diameter of the Circle

To find the diameter of a circle when the radius is given, we can use the formula: diameter = 2 * radius.

Given that the radius of the circle is 2.5 cm, we can calculate the diameter as follows: diameter = 2 * 2.5 = 5 cm.

Checking the Chord Length

The length of a chord in a circle can be calculated using the formula: chord length = 2 * √(r^2 - d^2), where r is the radius and d is the distance from the center of the circle to the chord.

In this case, the chord length is given as 6 cm. We can check if this is possible by using the formula: chord length = 2 * √(2.5^2 - (6/2)^2) chord length = 2 * √(6.25 - 9) chord length = 2 * √(-2.75)

The result is a negative value under the square root, indicating that the given chord length of 6 cm is not possible for a circle with a radius of 2.5 cm.

Therefore, it is not possible for a chord to be equal to 6 cm in a circle with a radius of 2.5 cm.

I hope this helps! If you have any other questions, feel free to ask.