The diagram shows a running track with a straight of 100 meter and two semicircular ends of diameter 56 meter.find the total distance around the track.

Ans

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To find the total distance around the track, you need to calculate the distances for the straight parts and the curved parts separately, and then add them together.

Let's start by calculating the distance for the straight parts. From the given information, we know that the straight part of the track has a length of 100 meters. So, the total distance covered by the straight parts is 100 meters.

Next, let's calculate the distance for the curved parts. The curved parts form two semicircles, and we need to find the circumference of each semicircle.

The diameter of each semicircle is given as 56 meters. The formula to calculate the circumference of a circle is C = π * d, where C represents the circumference, π represents the mathematical constant pi (approximately 3.14159), and d represents the diameter.

For each semicircle, we will use the formula for the circumference of a circle. So, for one semicircle:
Circumference of semicircle = π * diameter = π * 56

Since there are two semicircles, we need to calculate the total distance covered by both semicircles:
Total distance for the curved parts = 2 * (π * 56)

To find the total distance around the track, we add the distances for the straight parts and the curved parts:
Total distance = Distance for straight parts + Distance for curved parts
Total distance = 100 + 2 * (π * 56)

Now you can calculate the total distance using the formula mentioned above and the value of pi (approximately 3.14159).

the circumference of a 56 m circle plus the two straights

(2 * 100) + (π * 56)