Step-by-step explanation: A) The number of miles the earth travels in one complete revolution around the sun can be estimated using the circumference of the circular orbit.
Circumference = 2 * π * radius
Since the average distance from the earth to the sun is 93 million miles, this is the radius of the circular orbit:
Circumference = 2 * π * 93 million miles
Simplifying, we get:
Circumference = 186 million * π miles
So the number of miles the earth travels in one complete revolution is approximately 186 million * π miles.
B) To find the speed of the earth in feet per second, we need to divide the total distance by the time it takes to travel that distance.
The complete revolution takes 1 year, or 365.25 days. So the time it takes to travel the distance is 365.25 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 31,536,000 seconds.
Speed = Total distance / Time
Speed = 186 million * π miles / 31,536,000 seconds
We can convert miles to feet:
Speed = 186 million * π * 5280 feet/mile / 31,536,000 seconds
So the speed of the earth in its orbit around the sun is approximately 66,600 feet per second.