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Kibet ran around a track five times. The track is a rectangle with two semicircles at its ends. The length of the straight sections is 110 m and the diameter of each semicircle is 70 m. Calculate the
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The diagram shows a track composed of a rectangle with two semicircles at its ends. Kibet ran around this track five times. We need to find the total distance covered in kilometers.
Determine the dimensions of the track.
The length of the straight sections is .
The diameter of each semicircle (which is also the width of the rectangular part) is .Calculate the perimeter of one lap of the track.
The perimeter of the track consists of two straight sections and the circumference of two semicircles (which combine to form one full circle).
Length of two straight sections = .
Circumference of one full circle (from the two semicircles) = .
Using the approximation :
Circumference = .
Perimeter of one lap = (Length of straight sections) + (Circumference of full circle)
Perimeter of one lap = .Calculate the total distance Kibet covered for five laps.
Total distance = Perimeter of one lap Number of laps
Total distance = .Convert the total distance from meters to kilometers.
Since :
Total distance in kilometers = .Kibet covered a total distance of .
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