from a rectangular piece of metal sheet of length and breadth 1.60 m and 80 cm respectively, 3 circular sheets of 20 cm radius are cut out. what area of metal is left?

160*80 - 3(pi*20^2)

To find the area of the metal sheet that is left after cutting out the circular sheets, follow these steps:

1. Start by calculating the original area of the metal sheet. The length is given as 1.60 m, which can be converted to centimeters by multiplying by 100 (1 m = 100 cm). So the length becomes 1.60 m * 100 cm/m = 160 cm.
The breadth is given as 80 cm.

Therefore, the original area of the metal sheet = length * breadth = 160 cm * 80 cm = 12,800 cm².

2. Calculate the area of one circular sheet. The radius is given as 20 cm.

Area of a circle = π * radius².
Area of one circular sheet = π * (20 cm)².
Using the value of π as approximately 3.14, the area of one circular sheet is 3.14 * (20 cm)² = 3.14 * 400 cm² = 1256 cm².

3. Since three circular sheets are cut out from the rectangular metal sheet, multiply the area of one circular sheet by 3 to get the total area of all three circular sheets.
Total area of circular sheets = 3 * 1256 cm² = 3768 cm².

4. Finally, subtract the total area of the circular sheets from the original area of the metal sheet to find the area of metal that is left.

Area of metal left = Original area of metal sheet - Total area of circular sheets
= 12,800 cm² - 3768 cm²
= 9032 cm².

Therefore, the area of the metal that is left after cutting out the three circular sheets is 9032 cm².