A cow is tied with a rope of 14 cm length at the corner of a rectangular field of dimensions 20 cm × 16 cm. The area of the field where a cow can graze is: 

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. 144 cm2
  2. 169 cm​2
  3. 77 cm​2
  4. 154 cm​2

Answer (Detailed Solution Below)

Option 4 : 154 cm​2
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Formula Used:

Area of sector = (θ/360) × πr2

Calculation:

F2 Teaching Savita 24-1-24 D1

The area grazed by cow = (θ/360) × πr2, where θ is 90º.

= 90/360{(22/7) × 142}

= 1/4 × {(22/7) × 142}

= 154 cm2

∴ Area of the field which cow can graze is = 154 cm2

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