The radius of a circle is 5 ± 0.3 cm. What is the percentage uncertainty in the area of the circle?

Area = πr² = π × 5² = 78.5 cm² Percentage uncertainty in radius = (0.3/5) × 100 = 6% Percentage uncertainty in area = 6% × 2 (since r²) = 12% Final uncertainty in area = 78.5 ± 12% cm²