How long does it take a plane, traveling at a constant speed of 178 m/s, to fly once around a circle whose radius is 1810m?

To find the time it takes for the plane to fly once around the circle, we can use the formula:

time = distance / speed

The distance traveled by the plane in one round around the circle is equal to the circumference of the circle:

distance = 2 * π * radius

Plugging in the given radius of 1810m, we have:

distance = 2 * π * 1810m = 11394π m

Now, we can plug this value into the formula:

time = (11394π m) / (178 m/s)

Dividing, we get:

time = 64π s

So, it takes the plane approximately 64π seconds to fly once around the circle.