Explanation:
To solve this problem, we need to find the circumference of the circular playground and then multiply it by the number of rounds the runner completes.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the radius of the playground is 77m, we can substitute this value into the formula to find the circumference:
Circumference = 2 * π * 77
Now, we need to calculate the distance covered by the runner in 5 complete rounds. Since one round is equal to the circumference, the distance covered in 5 rounds would be:
Distance = 5 * Circumference
Substituting the value of the circumference, we have:
Distance = 5 * (2 * π * 77)
To simplify, we can use an approximation of π as 3.14:
Distance ≈ 5 * (2 * 3.14 * 77)
Calculating further:
Distance ≈ 5 * (6.28 * 77)
Distance ≈ 5 * 483.56
Distance ≈ 2417.8
Therefore, the distance covered by the runner in 5 complete rounds around the circular playground is approximately 2417.8 meters, which can be rounded to 2420 meters (as given in the answer).
Hope this helps!