Take a football and wrap a piece of string around it once, so that your string equals the circumference of the ball. How long is it? About 70cm for a typical footie.
Now add 100 cm to your string. If you make a circle round the ball with the new 170 cm long string, such that it hovers above the surface of the ball, exactly how high above the ball would the new circle be? Simple geometry says 15.9cm.
Now take a piece of string and wrap it round planet Earth one time. How long? A little over 40,000 km. Now add 1 meter to it as before with the football and make a new circle around the earth. How high would this new 40,000,000 +1 m of string be above the earth’s surface? A nanometer? A micrometer? No my friend, 15.9 cm just as before.