Question

A hotel is in the shape of a​ cylinder, with a circular foundation. the circumference of the foundation is 4 times the​ radius, increased by 114 ft. find the radius of the circular foundation. use 3.14 as an approximation for pi.

Answer 1

Let
C-------> the length of a circumference

C=2*pi*r-----> equation 1

we know that
in this problem-----> the circumference of the foundation is 4 times the​ radius, increased by 114 ft
so
C=4*r+114------> equation 2
(1)=(2)
2*pi*r=4*r+114------> 2*pi*r-4*r=114-----> r*[2*pi-4]=114---> r=114/[2*pi-4]
r=114/[2*pi-4]-----> 50 ft

the answer is
r=50 ft