ज्या वर्तुळाचा परीघ हा 11 सेमी बाजू असलेल्या चौरसाच्या परिमितीच्या समान आहे, त्या वर्तुळाचे क्षेत्रफळ काढा.

  1. 231 चौरस सेमी 
  2. 140 चौरस सेमी
  3. 77 चौरस सेमी
  4. 154 चौरस सेमी

Answer (Detailed Solution Below)

Option 4 : 154 चौरस सेमी
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Detailed Solution

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दिल्याप्रमाणे:

चौरसाची बाजू = 11 सेमी

सूत्र:

चौरसाची परिमिती = 4a

वर्तुळाचा परीघ = 2πr

वर्तुळाचे क्षेत्रफळ = πr2

गणना:

प्रश्नानुसार

2πr = 4 × 11

⇒ 2 × (22 / 7) × r = 44

⇒ r = 7 सेमी

∴ वर्तुळाचे क्षेत्रफळ = (22 / 7) × 7 × 7 = 154 चौरस सेमी

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