7 cm त्रिज्या और 60° कोण वाले एक वृत्त के त्रिज्यखंड का क्षेत्रफल कितना है?

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  1. \(\frac{144}{3}\) cm2
  2. \(\frac{77}{3}\) cm2
  3. \(\frac{154}{7}\) cm2
  4. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 2 : \(\frac{77}{3}\) cm2
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Detailed Solution

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दिया गया है:

त्रिज्यखंड की त्रिज्या (r) = 7 cm

केन्द्रीय कोण (θ) = 60° 

प्रयुक्त सूत्र:

त्रिज्यखंड का क्षेत्रफल = πr2 × \(\dfrac{60}{360}\)

गणना:

त्रिज्यखंड का क्षेत्रफल  = \(\dfrac{22}{7}\)× 7 × 7 × \(\dfrac{60}{360}\)

⇒ त्रिज्यखंड का क्षेत्रफल \(\dfrac{77}{3}\) cm2

त्रिज्यखंड का अभीष्ट क्षेत्रफल​ \(\dfrac{77}{3}\) cmहै। 

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