A rectangular board is measured with scale having a qureshi of 0.2 cm the length and breadth are measured as 35.4 cm and 18.4 cm respectively find the relative and percentage error of the calculated area
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Answered by
64
Answer:
ΔA = 10.76
1.65 %
Step-by-step explanation:
A rectangular board is measured with scale having a accuracy of 0.2 cm the length and breadth are measured as 35.4 cm and 18.4 cm respectively find the relative and percentage error of the calculated area
Length = 35.4 ± 0.2 cm
Breadth = 18.4 ± 0.2 cm
Area = A + ΔA
A = 35.4*18.4 = 651.36 cm²
ΔA/A = ΔL/L + ΔB/B
=>ΔA/A = 0.2/35.4 + 0.2 /18.4
=> ΔA = (0.2/35.4 + 0.2 /18.4)(35.4*18.4)
=> ΔA = 0.2 * 18.4 + 0.2*35.4
=> ΔA = 0.2(18.4 + 35.4)
=> ΔA = 0.2(53.8)
=> ΔA = 10.76
% error = (ΔA/A)*100 = (10.76/651.36) * 100 = 1.65 %
Answered by
3
Answer:
the answer is 1.65 %
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