1. find the radius of the equator. You know that the formula for the circumference is [tex] l=2\pi r [/tex], then
[tex] 24,882=2\pi r,\\ 12,441=\pi r,\\ \\ r=\dfrac{12,441}{\pi} =3,962.101910 [/tex] mi.
2. If you are using a rope 48 ft=0.0091 mi longer than the first rope (then the circumference is 24882.0091), then you obtain another radius:
[tex] 24,882.0091 =2\pi r_1, \\ r_1=3,962.103359 [/tex] mi.
3. The difference between radii is 3,962.103359-3,962.101910=0.001449 mi (similarly 7.65 ft)
