Question

Из прямоугольного листа картона размеры ширина 20 длина 60 вырезали три равных круга. Найдите площадь обрезков.

Answer 1

Длина листа 60, разделить на 3 части,получится 3квадрата 20х20.

60:3=20 - сторона квадрата и диаметр каждого круга

20:2=10 - радиус круга R

S=пR2

3,14 * 10*10=314 - площадь 1 круга

314 * 3 = 942 - площадь трех кругов

60 * 20 + 1200 - площадь листа картона

1200-942=258 - площадь обрезков

 

Answer 2

Calculating the Area of Cardboard Offcuts

To find the area of the cardboard offcuts after three equal circles are cut out, we can follow these steps:

1. Calculate the Area of the Rectangular Cardboard: - The dimensions of the rectangular cardboard are given as a width of 20 and a length of 60.

2. Calculate the Area of Three Equal Circles: - The circles are of equal size, so we need to find the area of one circle and then multiply it by 3 to account for all three circles.

3. Subtract the Total Area of the Circles from the Area of the Rectangular Cardboard: - This will give us the area of the cardboard offcuts.

Let's proceed with the calculations.

Calculations

1. Area of the Rectangular Cardboard: - Area = length * width - Area = 60 * 20 - Area = 1200 square units

2. Area of One Circle: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - Given that the circles are equal, we need to find the radius of one circle. - The diameter of the circle can be derived from the width of the rectangular cardboard, as the circles are cut out from the width. - Diameter = width of the cardboard = 20 - Radius (r) = Diameter / 2 = 20 / 2 = 10 - Area of one circle = π * (10)^2 - Area of one circle ≈ 314.16 square units

3. Area of Three Circles: - Total area of three circles = 3 * (Area of one circle) - Total area of three circles ≈ 942.48 square units

4. Area of Cardboard Offcuts: - Area of cardboard offcuts = Area of rectangular cardboard - Total area of three circles - Area of cardboard offcuts = 1200 - 942.48 - Area of cardboard offcuts ≈ 257.52 square units

Answer

The area of the cardboard offcuts after cutting out three equal circles is approximately 257.52 square units.