How to find the value of x
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In order to solve the formula
in terms of d, you simply have to divide both sides by pi:
The total height of the earring is the sum of the diameters of the circles. Given their circumferences, the diameters are
So, the total height is
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so