Question

тележное колесо радиусом 30см сделало 300 оборотов. какое расстояние проехала телега? ответ выразите в метрах. а) 282,6м б) 565,2 м в)558 м г) свой вариант

Answer 1

Колесо-это окружность
Дл.окр.=2ПR
Дл.окр=2*3,14*30=188,4 см (окружность колеса)
188,4*300=56520 см = 565,2 м (проехало колесо)

Ответ: Б)

Answer 2

Calculation of Distance Traveled by the Cart

To calculate the distance traveled by the cart, we need to find the circumference of the wheel and then multiply it by the number of revolutions.

The formula to calculate the circumference of a circle is:

Circumference = 2 * π * radius

Given that the radius of the wheel is 30 cm, we can substitute this value into the formula:

Circumference = 2 * π * 30 cm

Now, we need to convert the circumference from centimeters to meters. Since 1 meter is equal to 100 centimeters, we divide the circumference by 100:

Circumference = (2 * π * 30 cm) / 100

Next, we multiply the circumference by the number of revolutions to find the total distance traveled by the cart:

Distance = Circumference * Number of Revolutions

Given that the wheel made 300 revolutions, we can substitute this value into the formula:

Distance = (2 * π * 30 cm / 100) * 300

Now, we can calculate the distance:

Distance = (2 * 3.14 * 30 cm / 100) * 300

Calculating this expression gives us the distance traveled by the cart.

Calculation:

Distance = (2 * 3.14 * 30 cm / 100) * 300

Using a calculator, we can evaluate this expression to find the distance traveled by the cart.

The correct answer is 282.6 meters (option a).

Please let me know if you need any further assistance!