Question
Download Solution PDFनिम्नलिखित कथनों पर विचार कीजिए:
1. रेडियन माप में 1°, 0.02 रेडियन से कम है।
2. डिग्री माप में 1 रेडियन 45° से अधिक है।
उपरोक्त कथनों में से कौन-सा/कौन-से कथन सही है/हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
\(1^{0} =\frac{\pi}{180} \text { rad } \\\)
\(\text { 1 radian }=\frac{180}{\pi} \text {degree} \)
गणना:
कथन 1:
\(\begin{aligned} 1^{0} &=\frac{\pi}{180} \text { rad } \\ &=\frac{3.14}{180}\\&=0.01746 <0.02 \end{aligned}\)
कथन 2:
\(\text { 1 radian }=\frac{180}{\pi}\\=\frac{180}{3 \cdot 14} \approx 57^{\circ}>45^{\circ}\)
इसलिए, दोनों कथन सही हैं।
अतः विकल्प (3) सही है।
Last updated on May 30, 2025
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