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What is the perimeter of a semi-circle lake having a radius of 700m?
  1. 127.4 km
  2. 3.6 km
  3. 2.9 km
  4. None of these
Explanation

To find the perimeter of a semi-circle, we need to consider two parts:

  1. The half of the circumference of the circle, which is 12×2πr=πrfrac{1}{2} times 2pi r = pi r.
  2. The diameter of the circle, which is 2r2r.
  • The radius r=700r = 700 meters.

  1. Calculate the curved part (half of the circumference):


    text{Curved part} = pi times r = pi times 700 approx 3.1416 times 700 approx 2199.12 , text{m}

  2. Add the diameter:


    text{Diameter} = 2 times r = 2 times 700 = 1400 , text{m}

  3. Total perimeter:


    text{Perimeter} = text{Curved part} + text{Diameter} = 2199.12 , text{m} + 1400 , text{m} = 3599.12 , text{m}

  4. Convert the result to kilometers:


    3599.12 , text{m} = 3.6 , text{km}

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