The approximate uncertainty in the area of a circle is 5.4%.
A = πr²
where;
A = π(4.3 x 10⁴)²
A = 5.81 x 10⁹ cm²
Let the error in measurement = 1 x 10⁴ cm
A = π(1 x 10⁴)² = 3.14 x 10⁸ cm²
% = (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%.
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