28 cm त्रिज्या वाले एक वृत्त के त्रिज्यखंड का क्षेत्रफल 112 cm2 है। त्रिज्यखंड के संगत चाप की लंबाई ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 4 cm
  2. cm
  3. cm
  4. cm

Answer (Detailed Solution Below)

Option 2 : 8 cm
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दिया गया है:

28 cm त्रिज्या वाले एक वृत्त के त्रिज्यखंड का क्षेत्रफल 112 cm2 है।

गणना:

त्रिज्यखंड का क्षेत्रफल = πr²θ/360°

112 = π(28)²θ/360°

θ = 360/22

चाप की लंबाई = θ/360°(2πr)

⇒ 360/360 × 22/22 × 28/7 × 2

⇒  8 cm

अतः चाप की अभीष्ट लंबाई 8 cm है।

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