If the area of a semi-circular field is 15400 sq m, then perimeter of the field is: |(a) 160/7m (c) 360 /2m (b) 260/2 m (d) 460 /7m
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Answer:
Area of semi-circle = πr²/2
Perimeter of semi-circle = πr + 2r ( Diamter length will also add in perimeter remember this) .
Calculation :------
→ πr²/2 = 15400
→ πr² = 15400×2
→ r² = 15400×2 × 7/22
→ r² = 7×7×100×2
→ r = 7×10×√2 = 70√2 m
Now, perimeter = πr + 2r ,
putting values we get,
→ perimeter = 22/7 × 70√2 + 2(70√2)
→ perimeter = 22×10√2 + 140√2
→ perimeter = 220√2 + 140√2
→ perimeter = 360√2 m .
Hence , perimeter of semi-circle will be 360√2m .
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