Mechanics of matericals algebra question

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To solve for d in the equation 510/7.6 = 8.25/((pi/4)*d^2), first multiply both sides by (pi/4) to isolate d^2. Next, divide 8.25 by the result of 510/7.6. Then, take the inverse of both sides and finally, take the square root to find d. This method utilizes inverse operations effectively to isolate the variable. Understanding these steps is crucial for solving similar algebraic problems in Mechanics of Materials.
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mechanics of matericals ... algebra question

I'm currently in Mechanics of Materials and I have reduced my problem to something similar to: 510/7.6=8.25/((pi/4)*d^2)

how do I solve for d? I have been given the answer (from the back of the book) but i don't remember how to solve for d...by the way the above numbers are random and not from my text...but it is similar...thx crich
 
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Are you familiar with the concept of inverse operations?
\frac{510}{7.6} = \frac{8.25}{(\pi/4)d^2}
You can multiply the pi/4 to the otherside, divide by 8.25, inverse both sides, then take the square root.
 

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