A stick of length 1.75cm was measured by
a boy as 1.80cm. find the % error in his
measurement.
A. ±50%
B. ±27%
C. ±18%
D. ±75%
To find the percentage error, we will use the formula:
Percentage error = (Measured value - Actual value) / Actual value * 100%
Measured value = 1.80 cm
Actual value = 1.75 cm
Percentage error = (1.80 - 1.75) / 1.75 * 100%
Percentage error = (0.05 / 1.75) * 100%
Percentage error = 0.0285714 * 100%
Percentage error ≈ 2.857%
Since none of the given answer choices match with the calculated percentage error, there is no correct option.
To calculate the percentage error, we can use the formula:
Percentage error = (|Measured value - Actual value| / Actual value) * 100
Given that the measured value is 1.80cm, and the actual value is 1.75cm, we can substitute these values into the formula:
Percentage error = (|1.80 - 1.75| / 1.75) * 100
Percentage error = (0.05 / 1.75) * 100
Percentage error ≈ 0.02857 * 100
Percentage error ≈ 2.857%
Since none of the options provided match exactly 2.857%, we need to consider the closest option. Considering that 2.857% is closer to 3% than to 2%, the most appropriate option is:
B. ±27%