If error in measuring diameter of a circle is 4%, the error in circumference of the circle would be : -

Options

A. `2%`
B. `8%`
C. `4%`
D. `1%`

Explanation

To solve the problem of finding the error in the circumference of a circle when the error in measuring its diameter is given, we can follow these steps:

1. **Understand the relationship between diameter and circumference:**
The circumference \( C \) of a circle is given by the formula:
\[ C = \pi d \]
where \( d \) is the diameter of the circle.

2. **Determine the percentage error in the circumference:**
Since \( \pi \) is a constant, the percentage error in the circumference \( \Delta C \) will be directly proportional to the percentage error in the diameter \( \Delta d \).

3. **Apply the formula for percentage error:**
The percentage error in a product of a constant and a variable is the same as the percentage error in the variable itself. Therefore, the percentage error in the circumference \( \Delta C \) is equal to the percentage error in the diameter \( \Delta d \).

4. **Given data:**
The error in measuring the diameter of the circle is given as 4%.

5. **Conclusion:**
Since the percentage error in the circumference is the same as the percentage error in the diameter, the error in the circumference is also 4%.

Thus, the error in the circumference of the circle is:
\[ \boxed{4\%} \]