Question

Длина окружности = 25см;Найдите диаметр; Найдите отношения длины окружности к длине диаметра и сравните полученный результат с числом "пи"; число "пи" = 3,14 НАДО К ЗАВТРУ!!!ПОМОГИТЕ!!!спасибо заранее)

Answer 1

d=2r

L окружности=2пи*r

25=2*3.14*r

r=25/6.28=3.98 - радиус окружности

2r=d=3.98*2=7.96 - диаметр

 

L/d=25/7.96=3.14 - отношение длины окружности к диаметру

Как видно, это отношение равно пи.

Answer 2

Finding the Diameter

To find the diameter of a circle when the circumference is given, we can use the formula:

Circumference = π * Diameter

Given that the circumference is 25 cm and the value of π is 3.14, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given values:

Diameter = 25 cm / 3.14

Calculating the diameter:

Diameter ≈ 7.96 cm

Comparing the Ratio of Circumference to Diameter with π

The ratio of the circumference of a circle to its diameter is a constant value known as π (pi). We can compare the calculated ratio with the value of π to see if they are similar.

The formula for the ratio is:

Ratio = Circumference / Diameter

Substituting the given values:

Ratio = 25 cm / 7.96 cm

Calculating the ratio:

Ratio ≈ 3.14

Comparing the calculated ratio with the value of π (3.14), we can see that they are approximately equal. This suggests that the calculated diameter and the ratio are consistent with the value of π.

Please note that the value of π is an irrational number and is commonly approximated as 3.14 for simplicity in calculations. The actual value of π extends infinitely without repeating decimals.

I hope this helps! Let me know if you have any further questions.