Answer :
The absolute error in the timber measurement is 0.9 cm, calculated as the difference between the actual value (46.5 cm) and the recorded value (45.6 cm). This gives a percentage error of 1.9355%, which is rounded to 1.94%.
The value 45.6 cm was recorded instead of the actual length of timber which is 46.5 cm. To calculate the percentage error of this measurement, we first need to find the absolute error by subtracting the recorded length from the actual length.
Absolute Error = Actual Value - Recorded Value
Absolute Error = 46.5 cm - 45.6 cm = 0.9 cm
Next, we find the percentage error by dividing the absolute error by the actual value and then multiplying by 100.
Percentage Error = (Absolute Error / Actual Value) x 100
Percentage Error = (0.9 cm / 46.5 cm) x 100
Percentage Error = 1.9355...
To express this value to two decimal places, we round the result.
Percentage Error = 1.94%
Therefore, the percentage error in this measurement is 1.94%, which signifies the discrepancy between the recorded and actual measurements.