Respuesta :

The approximate uncertainty in the area of a circle is 5.4%.

Area of the circle

A = πr²

where;

  • r is radius of the circle

A = π(4.3 x 10⁴)²

A = 5.81 x 10⁹ cm²

Let the error in measurement = 1 x 10⁴ cm

Error in Area measurement

A =  π(1 x 10⁴)² = 3.14 x 10⁸ cm²

Uncertainty in measurement

% = (error/actual area) x 100%

% = ( 3.14 x 10⁸) / (5.81 x 10⁹) x 100%

% = 5.4 %

Thus, the approximate uncertainty in the area of a circle is 5.4%.

Learn more about uncertainty here: https://brainly.com/question/1970053

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