The radius of a circular disk is given as 24 cm with a maximal error in measurement of .2 cm. What is the percentage error?
.2/24 = ?
To find the percentage error in this case, we need to determine the relative error and then convert it to a percentage.
The relative error can be calculated by dividing the maximal error in measurement by the actual value (radius of the circular disk). In this case, the maximal error is given as 0.2 cm, and the actual value (radius) is given as 24 cm.
Relative Error = Maximal Error / Actual Value = 0.2 cm / 24 cm
Next, calculate this value:
Relative Error = 0.2 cm / 24 cm ≈ 0.0083333
To convert this relative error to a percentage, multiply it by 100:
Percentage Error = Relative Error * 100 = 0.0083333 * 100 ≈ 0.83333%
Therefore, the percentage error in the measurement of the radius of the circular disk is approximately 0.83333%.