Question

На дворе была сделана цветочная клумба, образованная из квадрата и четырёх полукругов. Площадь клумбы приблизительно равна 4000 м². R_laukums.png Сколько метров декоративного забора необходимо вокруг клумбы? В расчётах использовано округлённое значение π≈3. 1. Какова длина стороны квадрата? м 2. Какова длина радиуса полукругов? м 3. Какова длина декоративного забора? м

Answer 1

Решение в приложении.

1. Длина стороны квадрата ≈ 39,44538 м

2. Длина радиуса полукругов ≈ 19,727 м 

3. Длина декоративного забора ≈247,84258 м

Здесь π≈3,141592

Answer 2

Calculation of the Lengths

To determine the length of the decorative fence required around the flower bed, we need to calculate the lengths of the square and the four semicircles.

1. Length of the Square Side: - The flower bed is formed by a square and four semicircles. - The total area of the flower bed is approximately 4000 m². - Since the flower bed is formed by a square, we can calculate the length of one side of the square using the formula: Area = Side^2. - Therefore, the length of one side of the square is approximately √4000 m.

2. Length of the Semicircle Radius: - The flower bed is also formed by four semicircles. - To calculate the length of the radius of each semicircle, we need to know the length of one side of the square. - The radius of each semicircle is equal to half the length of one side of the square. - Therefore, the length of the radius of each semicircle is approximately (√4000)/2 m.

3. Length of the Decorative Fence: - The decorative fence will surround the flower bed, which consists of the square and the four semicircles. - To calculate the length of the decorative fence, we need to add the lengths of the square and the four semicircles. - The length of the decorative fence is equal to the sum of the perimeter of the square and the circumference of each semicircle. - The perimeter of the square is equal to 4 times the length of one side of the square. - The circumference of each semicircle is equal to half the circumference of a full circle with the same radius. - Therefore, the length of the decorative fence is approximately 4 * (√4000) + 2 * π * (√4000)/2 m.

Calculation Results

1. The length of one side of the square is approximately 63.25 m. 2. The length of the radius of each semicircle is approximately 31.63 m. 3. The length of the decorative fence required around the flower bed is approximately 316.3 m.

Please note that the calculations are based on the assumption that the flower bed is a perfect square and the semicircles are perfectly aligned with the sides of the square.