Circular Pipe

Geometry Level 3

A surveyor places 100 cm stick against the base of a large circular underground pipe and finds that the midpoint of the stick is 8 cm from the pipe wall. Find the inside diameter of the pipe, to one decimal place in centimeters.

Diagram not drawn to scale.


The answer is 320.5.

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2 solutions

Milind Joshi
Jun 20, 2014

r^2=(r-8)^2+(50)^2......solve it for r..

Caution

Beware if you think any equilateral triangle is formed! You are damn wrong!

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