How many circular discs, each of 4 cm radius , can be cut from the rectangular metal sheet with dimensions :
64 cm and 60 cm

Answer

To find out how many circular discs, each with a radius of 4 cm, can be cut from a rectangular metal sheet with dimensions 64 cm and 60 cm, we can follow these steps:

### Step 1: Calculate the area of the rectangular metal sheet.
The area of a rectangle is given by the formula:
\[ \text{Area of rectangle} = \text{Length} \times \text{Breadth} \]
Substituting the given dimensions:
\[ \text{Area} = 64 \, \text{cm} \times 60 \, \text{cm} = 3840 \, \text{cm}^2 \]

### Step 2: Calculate the area of one circular disc.
The area of a circle is given by the formula:
\[ \text{Area of circle} = \pi r^2 \]
Where \( r \) is the radius. Given that the radius is 4 cm, we can substitute this value:
\[ \text{Area} = \pi \times (4 \, \text{cm})^2 = \pi \times 16 \, \text{cm}^2 \]
Using \( \pi \approx 3.14 \):
\[ \text{Area} \approx 3.14 \times 16 \, \text{cm}^2 = 50.24 \, \text{cm}^2 \]

### Step 3: Calculate the number of circular discs that can be cut from the rectangular sheet.
To find the number of discs, divide the area of the rectangle by the area of one circular disc:
\[ \text{Number of discs} = \frac{\text{Area of rectangle}}{\text{Area of circle}} = \frac{3840 \, \text{cm}^2}{50.24 \, \text{cm}^2} \]
Calculating this gives:
\[ \text{Number of discs} \approx 76.43 \]

Since we cannot cut a fraction of a disc, we take the whole number:
\[ \text{Number of discs} = 76 \]

### Final Answer:
Therefore, the number of circular discs that can be cut from the rectangular metal sheet is **76**.

---