A scientist measures the diameter of a circular petri dish as 10 cm 10~\text{cm} with a possible error of 0.2 cm 0.2~\text{cm} . The scientist used this diameter to calculate the radius. Then, the radius is used to calculate the area of the petri dish. Approximate the percentage errors in the calculated values of the radius and area.

Percentage error in the radius: 2 % 2\% Percentage error in the area: 4 % 4\% 4%

Percentage error in the radius: 2 % 2\% 2% Percentage error in the area: 6 % 6\%

Percentage error in the radius: 1 % 1\% Percentage error in the area: 6 % 6\% 6%

Percentage error in the radius: 1 % 1\% Percentage error in the area: 4 % 4\% 4%

A scientist measures the diameter of a circular petri dish as 10&...

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