Question

Найдите площадь круга, если длина окружности равна 48,6 дм. Результат округлите до десятых.

Answer 1

Ответ:

188,1

Пошаговое объяснение:

L=2пR; R=L/2П=48,6/2*3,14=48,6/6,28=4860/628=7+116/157 ≈ 7,74
S=пR² ≈ 3,14*(7,74)² ≈ 3,14*59,9076 ≈ 188,109864 ≈ 188,1

Answer 2

Calculation of Circle Area

To find the area of a circle, we need to know the length of its circumference. In this case, the length of the circumference is given as 48.6 dm.

The formula to calculate the area of a circle is:

Area = (Circumference^2) / (4 * π)

Where: - Circumference is the length of the circumference of the circle - π (pi) is a mathematical constant approximately equal to 3.14159

Let's substitute the given value of the circumference into the formula and calculate the area:

Circumference = 48.6 dm

Area = (48.6^2) / (4 * π)

To calculate the area, we need the value of π. The value of π is approximately 3.14159.

Area = (48.6^2) / (4 * 3.14159)

Now, let's calculate the area using the given values:

Area = (48.6^2) / (4 * 3.14159)

Area ≈ 186.08 square dm

Therefore, the area of the circle, rounded to the nearest tenth, is approximately 186.1 square dm.

Please note that the calculation is based on the given information and the approximation of π to 3.14159.