50.9k views
20 votes
Find the distance around the race track. use 3.1 for pi. 30m 100m​

Find the distance around the race track. use 3.1 for pi. 30m 100m​-example-1
User Victorz
by
3.0k points

1 Answer

4 votes

Answer:

293 m

Explanation:

Split the figure into 3 parts :

  1. Left semicircle
  2. Center rectangle
  3. Right semicircle

Perimeter of the left semicircle

  • P₁ = πr
  • P₁ = 3.1 x 15 [half the diameter]
  • P₁ = 46.5 m

Perimeter of the right semicircle

  • It is the same perimeter of the left semicircle as the diameter is equal
  • P₂ = 46.5 m

Perimeter of the rectangle

  • Here we only need to consider the sum of the lengths of the rectangle
  • P₃ = 2 x 100
  • P₃ = 200

Distance around the race track

  • P₁ + P₂ + P₃
  • 46.5 + 46.5 + 200
  • 293 m
User Titicaca
by
3.8k points