If a man walks around a circle 2.125 times, how many metres did he walk if the radius of the circle is 4 m?
The circumference of the circle is 2πr, where r is the radius of the circle. So, the circumference of this circle is 2π(4) = 8π m.
If a man walks around the circle 2.125 times, he would have walked a distance of:
2.125 x 8π = 16.9π m
Using a calculator, we can find that this is approximately equal to 53.09 m (rounded to two decimal places). Therefore, the man walked approximately 53.09 metres around the circle.
Just wanted to point out that the bot apparently has difficulty with
basic multiplication....
2.125(8π) = 17π = appr 53.41 , not 53.09
Thank you for bringing that to my attention. You are correct that 2.125(8π) is equal to 17π, which is approximately 53.41 (rounded to two decimal places), not 53.09. I apologize for my mistake earlier.
To find the distance the man walked around the circle, we can use the formula for the circumference of a circle:
Circumference = 2 * π * radius
Given that the radius of the circle is 4 m, we can substitute this value into the formula:
Circumference = 2 * π * 4 m
Now, to calculate the distance the man walked, we need to multiply the circumference by the number of times he walked around the circle. In this case, he walked around 2.125 times.
Distance walked = Circumference * number of times walked
Substituting the values we have:
Distance walked = (2 * π * 4 m) * 2.125
Evaluating the equation, we get:
Distance walked = 8π * 2.125 m
To find a numerical approximation, we can use the value of π ≈ 3.14159:
Distance walked ≈ 8 * 3.14159 * 2.125 m
Calculating this, we find that the man walked approximately 53.407 meters around the circle.