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The radius of a circular play ground is 77m. Calculate the distance covered by a runner is 5 complete rounds around the ground. ( ans2420) how ?

2 Answers

2 votes

Answer:

2420

Explanation:

Circumference = 2πr

One complete round will be equal to the circumference = 2πr

Five rounds will be five times the circumference

= 5*2πr

= 10πr


= 10 *(22)/(7)*77 \\\\= 10* 22* 11\\\\= 2420

User AMJay
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3 votes

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!

User Butani Vijay
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8.2k points