Question
Download Solution PDFदी गई आकृति में, चाप AB की लंबाई वृत्त की त्रिज्या r की 3 गुना के बराबर है।
त्रिज्यखंड OAB का क्षेत्रफल त्रिज्या r के पदों में ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
चाप का क्षेत्रफल = θ/360 × πr 2 .
θ = चाप / त्रिज्या
1 रेडियन = 180°/π
गणना:
यहाँ चाप = 3r
तो, θ = 3r / r
⇒ 3c
हम जानते हैं,
πc = 180°
3c = (180/π × 3) = 540/π डिग्री
तो, डिग्री में कोण (θ) = (540/π) डिग्री
सेक्टर OAB का क्षेत्रफल है,
⇒ (540/π)/360 × πr 2
⇒ 540/360 × r2 = 3/2 r2 = 1.5 r2
∴ त्रिज्यखंड OAB का क्षेत्रफल 1.5 r 2 है ।
Last updated on Jul 19, 2025
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