The most accurate reading of the length of a 6.28 cm long fibre is

Options

A. 6 cm
B. 6.5 cm
C. 5.99 cm
D. 6.0 cm

Answer

To find the most accurate reading of a length of 6.28 cm long fiber from the given options, we will calculate the absolute error for each option and determine which option has the minimum error.

### Step-by-Step Solution:

1. **Identify the Given Length**:
The length of the fiber is given as 6.28 cm.

2. **List the Options**:
The options provided are:
- Option A: 6 cm
- Option B: 6.5 cm
- Option C: 5.99 cm
- Option D: 6 cm

3. **Calculate Absolute Error for Each Option**:
- For **Option A (6 cm)**:
\[ \text{Absolute Error} = |6.28 - 6| = 0.28 \text{ cm} \]

- For **Option B (6.5 cm)**:
\[ \text{Absolute Error} = |6.28 - 6.5| = 0.22 \text{ cm} \]

- For **Option C (5.99 cm)**:
\[ \text{Absolute Error} = |6.28 - 5.99| = 0.29 \text{ cm} \]

- For **Option D (6 cm)**:
\[ \text{Absolute Error} = |6.28 - 6| = 0.28 \text{ cm} \]

4. **Compare the Absolute Errors**:
- Option A: 0.28 cm
- Option B: 0.22 cm
- Option C: 0.29 cm
- Option D: 0.28 cm

The smallest absolute error is 0.22 cm, which corresponds to **Option B (6.5 cm)**.

5. **Conclusion**:
The most accurate reading of the length of the 6.28 cm long fiber is **6.5 cm**.