एका वर्तुळाचा परीघ 33 सेमी असेल, तर त्याचे क्षेत्रफळ काढा.

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. \(​\frac{21}{4}\) सेमी2
  2. 42 सेमी2
  3. \(\frac{693}{8}\) सेमी2
  4. \(\frac{8}{693}\) सेमी2

Answer (Detailed Solution Below)

Option 3 : \(\frac{693}{8}\) सेमी2
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Detailed Solution

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दिलेले आहे:

वर्तुळाचा परीघ = 33 सेमी

वापरलेली संकल्पना:

एका वर्तुळाचा परीघ = 2πr, 

जिथे "r" ही वर्तुळाची त्रिज्या आहे.

वर्तुळाचे क्षेत्रफळ = πr2

गणना:

C = 2πr

⇒ 33 = 2πr

⇒ r = \(\dfrac{21}{4}\)

⇒ क्षेत्रफळ = π × \(\dfrac{21}{4}^2\)

⇒ क्षेत्रफळ = \(\dfrac{22 \times 21 \times 21}{7 \times 4 \times 4}\) = \(\dfrac{693}{8}\)

∴ वर्तुळाचे क्षेत्रफळ \(\dfrac{693}{8} \) सेमीआहे.

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