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Mathematics
Post-secondary • September 23, 2024
At Orange County Choppers, Paul Teutul Junior needs to make a circular metal disk with area 1000in^2

The radius of such a disk is  inches?

To keep Paul Senior from blowing a gasket, Paul Junior must deviate from the ideal area of 1000 in^2 the disk, which is +-1 inches ^2, by less than  How close to the ideal radius must the Flowjet (the machine that cuts the disk) be to maintain tranquility at OCC?

Answer = ? inches.

In terms of the e, lamda definition of lim x—-> a f(x) =L, let  x be the actual radius of the disk and  f(x) the actual area of the disk.
What is the formula for the function ? 
What is the number ? 
What is the number ? 
What value of  is given? 
What is the corresponding value of ?

Answer (1)

Alloprof Answer
September 23, 2024
Hi !
The link between the disk area and its radius is the number pi.

image.pngA=πr2 A=\pi\color{#3A9A38}{r}^2
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So you can calculate each values of radius with this formula. You can alors replace \(A\) by \(f(x\) and \(r\) by \(x\) or tha variable in question.
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