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. The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What is the distance, in meters, around the entire track? Use the 3.14 for 휋휋 and express your answer to the nearest hundredth.

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fichoh

Answer:

2232. 478 meters

Step-by-step explanation:

Given that :

Straightway on both sides at 1000 m each :

2 * 1000m = 2000 m

Semicircle ; 2 at both ends :

Length = pi*r = 3.14 * (74/2) = 116.23892 meters

2 * 116.23892 = 232.47785 meters

Total length :

(2000 + 232.47785) meters

= 2232. 478 meters

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The distance round the track is 232.36m^2

Data Given;

  • Diameter = 74m
  • straightaway = 1000
  • pi = 3.14

Circumference of a Circle

To solve this problem, we have to find the circumference of a circle.

This is given as 2πr. where r = radius of the circle

[tex]r = d/2 =74/2 = 37m[/tex]

Now we can plug in the values and solve for the circumference of the circle.

[tex]C = 2\pi r\\ C = 2 * 3.14 * 37\\ C = 232.36m[/tex]

The circumference of the circle or track is equal to 232.36m^2

Learn more on circumference of a circle here;

https://brainly.com/question/1046578

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