Question

1. A hotel is in the shape of a​ cylinder, with a circular foundation. The circumference of the foundation is 2 times the​ radius, increased by 235.4 ft. Find the radius of the circular foundation. Use 3.14 as an approximation for π.
2. the​ circumference, C, of a circle is given. 28pi ft. Find the values of r​ (radius), d​ (diameter), and A​ (area) for this particular circle. Leave

pi π in your answers.

Answer 1

2)The circumference or perimeter of a circle with radius $r$ is

$P=2\pi r$. Given $P=28\pi$. Therefore,

$2\pi r =28\pi \\ r=14\\ d=2r=28\\ A=\pi r^2 \\ A=\pi (14)^2\\ A=[tex] 196\pi$

Thus the radius is $14\;ft$, diameter $28\;ft$ and area $196\pi \;ft^2$