how long will a mantake to make a rouns of a circular field of radius42m cycling at the speed of 10km/hr.
To find out how long it will take a man to make a complete round of a circular field, we need to determine the circumference of the field and then divide it by the man's speed to get the time.
First, let's calculate the circumference of the circular field using the formula:
Circumference = 2πr
where r is the radius of the field.
Given that the radius (r) of the circular field is 42 meters, we can substitute this value into the formula:
Circumference = 2 x 3.14 x 42
Circumference ≈ 263.76 meters
Now, to calculate the time it will take for the man to cycle around the field, we divide the circumference by the man's speed:
Time = Circumference / Speed
Given that the man's speed is 10 km/h, we need to convert it to meters per hour:
1 km = 1000 meters
1 hour = 3600 seconds
Speed (meters per hour) = 10 km/h x 1000 meters / 1 km x 1 hour / 3600 seconds
Speed ≈ 277.78 meters per hour
Now, we can calculate the time it will take using the formula:
Time = Circumference / Speed
Time = 263.76 meters / 277.78 meters per hour
Time ≈ 0.95 hours or 57 minutes
Therefore, it will take approximately 57 minutes for the man to make a complete round of the circular field.