The length of a wire is 66 metre, then the number of circles of circumference 1.32 cm that can be made from the wire is :

Question

Accepted Answer

To determine how many circles of circumference 1.32 cm can be made from a wire that is 66 meters long, we need to convert the length of the wire into centimeters and then divide by the circumference of one circle.

1. **Convert the length of the wire from meters to centimeters:**
   - 1 meter = 100 centimeters
   - Therefore, 66 meters = 66 × 100 = 6600 centimeters

2. **Calculate the number of circles:**
   - The circumference of one circle is given as 1.32 cm.
   - To find out how many such circles can be made, divide the total length of the wire by the circumference of one circle:
   $$
   \text{Number of circles} = \frac{6600 \text{ cm}}{1.32 \text{ cm/circle}} = 5000 \text{ circles}
   $$

Thus, the correct answer is Option 4: 5000.

**Explanation for why each option is incorrect:**

- **Option 1 (1000):** If we divide 6600 cm by 1.32 cm, the result is 5000, not 1000. Therefore, 1000 is incorrect because it significantly underestimates the number of circles that can be made.

- **Option 2 (50):** This option is incorrect because it grossly underestimates the number of circles. Dividing 6600 cm by 1.32 cm results in 5000, not 50.

- **Option 3 (500):** This option is also incorrect because it underestimates the number of circles. The calculation clearly shows that 5000 circles can be made, not 500.

In conclusion, the only option that correctly reflects the number of circles that can be made from the wire is Option 4: 5000.