if the radius of a metal hoop that surrounds a silo were to expand by 1.00 m, the circumference of the hoop would increase by 6.28 m. If a metal hoop that completely surrounds the earth were to thermally expand so that its radius increased by 1.00m , by how much would its circumference increase?

Question

if the radius of a metal hoop that surrounds a silo were to expand by 1.00 m, the circumference of the hoop would increase by 6.28 m. If a metal hoop that completely surrounds the earth were to thermally expand so that its radius increased by 1.00m , by how much would its circumference increase?

Answer 1

Circumference = 2 pi R

(Change in circumference) = 2 pi *(change in R),

The answer is 2 pi = 6.28 m in both cases

Answer 2

To find out how much the circumference of the metal hoop surrounding the earth would increase if the radius increased by 1.00 m, we can use the formula for the circumference of a circle:

C = 2πr

Where C is the circumference and r is the radius.

Given that the increase in radius is 1.00 m, we can substitute this value into the formula:

C = 2π(1.00)

Simplifying the equation, we find:

C = 2π

So, if the radius of the metal hoop surrounding the earth were to increase by 1.00 m, the circumference of the hoop would increase by approximately 2π, which is approximately 6.28 meters.