Question

Help please show work

Answer 1

This exercise is asking for the area of a circle with a given circumference. The plan of action is the following:

1. Derive the radius from the circumference
2. Use the radius to compute the area.

The first step is

`C = 2\pi r \iff r = (C)/(2\pi)`

The second step is

`A = \pi r^2 = \pi (C^2)/(4\pi^2) = (C^2)/(4\pi)`

So, the area is

`(870^2)/(4\pi) = (756900)/(4\pi) \approx 60232`