Question
Download Solution PDFएक घड़ी की मिनट की सुई 20 सेमी लम्बी है। सुबह 8 बजे से 8:45 बजे के बीच मिनट की सूई द्वारा घड़ी पर तय भाग का क्षेत्रफल ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक घड़ी की मिनट की सुई 20 सेमी लम्बी है।
प्रयुक्त अवधारणा:
एक त्रिज्यखंड का क्षेत्रफल = πr2 × \({{\theta} \over 360}\)
गणना:
जैसा कि हम जानते हैं कि 1 मिनट में मिनट की सुई द्वारा बनाया गया कोण = 6°
इसलिए, 45 मिनट में मिनट की सुई द्वारा बनाया गया कोण = 45 × 6 = 270°
क्षेत्रफल = π × 202 × \({{270} \over 360}\)
⇒ \({{22} \over 7}\) × 400 × \({{270} \over 360}\)
⇒ \({{6600} \over 7}\)
∴ अभीष्ट उत्तर \({{6600} \over 7}\) सेमी2 है।
Last updated on Jul 8, 2025
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