Question
Download Solution PDF12 सेमी त्रिज्या वाले एक वृत्त के त्रिज्यखंड का क्षेत्रफल 32 π सेमी2 है। त्रिज्यखंड के संगत चाप की लम्बाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
वृत्त के एक त्रिज्यखंड का क्षेत्रफल = 32 π सेमी2
वृत्त की त्रिज्या (R) = 12 सेमी
प्रयुक्त सूत्र:
एक त्रिज्यखंड का क्षेत्रफल = (π × R2 × θ)/360
चाप की लम्बाई = (2 × π × R × θ)/360
गणना:
एक त्रिज्यखंड का क्षेत्रफल = (π × R2 × θ)/360
⇒ 32π = (π × (12)2 × θ)/360
⇒ 32 × 360 = (144 × θ)
⇒ θ = (32 × 360)/144
⇒ θ = 80°
चाप की लम्बाई = (2 × π × R × θ)/360
⇒ (2 × π × 12 × 80)/360
⇒ (16/3) × π
∴ सही उत्तर
Last updated on Jul 12, 2025
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