Question

Окружность арены во всех цирках мира имеет длину 40,8 м. Найдите диаметр и площадь арены (П приблизительно равняется 3)ПОМОГИТЕ.

Answer 1

P=2πr (так то π≈3.14 , но для удобного счёта возьмём 3)
r- значим за "x"⇒
40.8=2*3*x
дальше можно считать по 2-м способам
           ∨                          ∨
    40.8÷2÷3=х               40.8=6х
         х=6.8                      х=6.8
радиус(r)=6.8 см
т.к. D=2r⇒ D=13.6 см
S=πr²
S=3*6.8²
S=3*46.24
S=138.72 cм²

Answer 2

Calculation of Diameter and Area of the Arena

To find the diameter and area of the arena, we need to use the formulae related to the circumference, diameter, and area of a circle.

The formula for the circumference of a circle is:

Circumference = π * Diameter

Given that the circumference of the arena is 40.8 meters, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given value, we have:

Diameter = 40.8 / π

To find the area of the circle, we use the formula:

Area = π * (Radius)^2

Since we have the diameter, we can calculate the radius by dividing the diameter by 2:

Radius = Diameter / 2

Substituting the value of the diameter, we have:

Radius = (40.8 / π) / 2

Finally, we can calculate the area using the formula:

Area = π * (Radius)^2

Now, let's calculate the diameter and area of the arena.

Calculation:

Given: Circumference = 40.8 m Approximation of π = 3

Using the formula for diameter: Diameter = Circumference / π

Substituting the values: Diameter = 40.8 / 3

Calculating the diameter: Diameter ≈ 13.6 m

Using the formula for radius: Radius = Diameter / 2

Substituting the value of the diameter: Radius ≈ 13.6 / 2

Calculating the radius: Radius ≈ 6.8 m

Using the formula for area: Area = π * (Radius)^2

Substituting the value of π and the radius: Area ≈ 3 * (6.8)^2

Calculating the area: Area ≈ 3 * 46.24

Area ≈ 138.72 square meters

Answer:

The diameter of the arena is approximately 13.6 meters and the area is approximately 138.72 square meters.