What is the relative error of a circular disk with a radius of 24 cm and a measurement error of 2 cm?

To find the relative error, we first need to understand what relative error means. Relative error is the ratio of the absolute error to the actual value. In this case, the absolute error is given as 2 cm, and the actual value (radius of the circular disk) is 24 cm.

We can calculate the relative error using the following formula:

Relative Error = (Absolute Error) / (Actual Value)

Substituting the values we have:

Relative Error = 2 cm / 24 cm

Now, performing the division:

Relative Error = 1/12

To express this as a decimal, we can calculate:

Relative Error ≈ 0.0833

To convert this to a percentage, we multiply by 100:

Relative Error ≈ 0.0833 * 100 ≈ 8.33%

Thus, the relative error in the measurement of the radius of the circular disk is approximately 8.33%.