A carpenter measured the length of a board to be 5.60 m. If the actual length is 5.55 m, find his percentage error.
A. 0.5%
B. 1.5%
C. 2.1%
D. 0.9%
Correct Answer: D
Explanation
To find the percentage error, use the formula:
\[
\text{Percentage Error} = \left( \frac{\text{Measured Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100
\]
Here, the measured value is \(5.60\) m and the actual value is \(5.55\) m.
\[
\text{Percentage Error} = \left( \frac{5.60 - 5.55}{5.55} \right) \times 100
\]
\[
\text{Percentage Error} = \left( \frac{0.05}{5.55} \right) \times 100 \approx 0.9\%
\]
Thus, the answer is:
D. 0.9%