Question

you encounter a large sink hole and you need to report it to the authorities. when you call they ask you its diameter. being a hole you can not measure the diameter directly but it takes 150 steps to walk its circumference. what is the holes diameter? assume your steps are 0.8 m
a 38.2 m
b 47.8 m
c 120 m
d 150 m

Explanation:

Step1: Calculate the circumference

The circumference \(C\) is the number of steps times the length of each step.
\(C = 150\times0.8=120\space m\)

Step2: Use the formula for circumference

The formula for the circumference of a circle is \(C=\pi d\), where \(d\) is the diameter.
We can solve for \(d\) by \(d = \frac{C}{\pi}\).
Substitute \(C = 120\space m\) and \(\pi\approx3.14\)
\(d=\frac{120}{3.14}\approx38.2\space m\)

Answer:

A. 38.2 m