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The circumference of one wheel is 20mm longer than of another wheel. The product of the two circumference is 144300mm. Calculate the dimension of the two wheels.

The circumference of one wheel is 20mm longer than of  another wheel. The product of the two circumference is 144300mm. Calculate the dimension of the two wheels.

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5965 Points
one year ago
Dear Student

given that
c1=c2+20
and
c1*c2=144300 mm^2
therefore
(c2+20)*c2=144300

hence c2^2+20*c2-144300=0
this is a quadratic equation in c2 and can be solved using the standard
procedure
as c2=(-20+760)/2= 370
The negative value will be ommitted.
c1= c2+20
c1=390.

circumference= 2*pi*r
finding radius from the obtained circumference.
r1= 58.88 mm
r2= 62.07 mm

Thanks

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