Question

чему равна площадь стадиона имеющего форму окружности если спортсмен пробегает с одной стороны на другую через центр со скоростью 10,8 за 50 секунд

Answer 1

Если скорость 10.8 км/ч, то при переводе 10.8*1000/3600=3м/с
Найдем диаметр окружности. Для этого скорость умножим на время 
3*50 = 150 м, 

РАДИУС равен 150/2=75 м 

Найдем площадь круга.
Она равна S=пR2, где п - число "пи" равное 3.14, а R2 - квадрат радиуса (или радиус в квадрате).
S=3.14*75*75= 17662.5 кв. м - площадь стадиона

Answer 2

Calculation of the Stadium Area

To calculate the area of a stadium in the shape of a circle, we need to know the radius of the circle. The radius is the distance from the center of the circle to any point on its circumference. In this case, the sportsperson runs from one side of the stadium to the other through the center, so the diameter of the circle is the distance covered.

Given: - Speed of the sportsperson: 10.8 m/s - Time taken to run from one side to the other through the center: 50 seconds

To find the radius, we can use the formula: radius = (speed x time) / 2. Let's calculate it:

radius = (10.8 m/s x 50 s) / 2 = 540 m

Now that we have the radius, we can calculate the area of the stadium using the formula: area = π x radius^2. Let's calculate it:

area = π x (540 m)^2

To find the value of π, we can use the approximation 3.14159.

area ≈ 3.14159 x (540 m)^2

Calculating the area:

area ≈ 3.14159 x 291,600 m^2

Therefore, the approximate area of the stadium is approximately 916,091.39 square meters.

Please note that this calculation assumes the stadium is a perfect circle and that the sportsperson runs in a straight line from one side to the other through the center.