Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.
Answer Details
To find the percentage of error, we first need to find the absolute error, which is the difference between the measured value and the true value. In this case, the true value is 1.23 cm, and the measured value is 1.32 cm.
Absolute error = |measured value - true value| = |1.32 - 1.23| = 0.09 cm
Next, we can find the relative error, which is the ratio of the absolute error to the true value.
Relative error = (absolute error / true value) x 100%
Relative error = (0.09 / 1.23) x 100% = 7.32%
Therefore, the percentage of error, correct to one decimal place, is 7.3%.
The answer is option B.