Walking on the circumference of a circular field a man completes one round in 400 steps. If the length of a step of the man is 66cm., the radius of the field is -
circumference = 2πr = 400(66) cm
r = 400(66)/(2π)
= 8403.38 cm
or appr 84 m
To find the radius of the circular field, we can start by finding the circumference of the field using the formula:
Circumference = 2 * π * radius
Given that the man completes one round in 400 steps and the length of each step is 66 cm, we can calculate the distance covered in one round:
Distance covered in one round = Number of steps * Length of each step
= 400 steps * 66 cm
= 26,400 cm
Since the distance covered in one round is equal to the circumference of the circular field, we can equate these two values and solve for the radius:
Circumference = Distance covered in one round
2 * π * radius = 26,400 cm
Now, we can solve for the radius:
radius = (26,400 cm) / (2 * π)
radius ≈ 4,200 cm
Therefore, the radius of the circular field is approximately 4,200 cm.