What is the perimeter of a semi-circle lake having a radius of 700m?

What is the perimeter of a semi-circle lake having a radius of 700m?

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}