TS EAMCET · Maths · Application of Derivatives
If the percentage error in the radius of a circle is 3, then the percentage error in its area is
- A 6
- B \(\frac{3}{2}\)
- C 2
- D 4
Answer & Solution
Correct Answer
(A) 6
Step-by-step Solution
Detailed explanation
\( \frac{\Delta A}{A} = 2 \frac{\Delta r}{r} \) \( \% \text{error}(A) = 2 \times \% \text{error}(r) \) \( \% \text{error}(A) = 2 \times 3 = 6 \)
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