Verified by Ajay Kumar
A circular iron plate of radius 24 cm is heated, and its radius increases by 1.8%. What is the approximate percentage increase in its area?
1.8%
2.2%
3.64%
4.3%
Answer: C
Percentage increase in area = \(2r + r^2/100\), where \(r=1.8\). Thus, increase = \(2 \times 1.8 + (1.8)^2/100 = 3.6324\%\), approximately 3.64%.
24 सेमी त्रिज्या वाली एक वृत्ताकार लोहे की प्लेट को गर्म किया जाता है, और इसकी त्रिज्या 1.8% बढ़ जाती है। इसके क्षेत्रफल में लगभग कितने प्रतिशत की वृद्धि होगी?
1.8%
2.2%
3.64%
4.3%
उत्तर: C
क्षेत्रफल में प्रतिशत वृद्धि = \(2r + r^2/100\), जहाँ \(r=1.8\)। अतः वृद्धि = \(2 \times 1.8 + (1.8)^2/100 = 3.6324\%\), अर्थात लगभग 3.64%।
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