If the area of a semi-circular field is 15400 sq m, then perimeter of the field is:
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Given :----
- Area of semi-circle = 15400m² .
To Find :---
- Perimeter of Semi-circle ..
Formula used :-----
- Area of semi-circle = πr²/2
- Perimeter of semi-circle = πr + 2r ( Diameter 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 .
(Hope it helps you) ..
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