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Find a math application problem. Divide a circle into several parts and make a rectangle. It is known that the circumference of a rectangle is 4 1.4. How to find the circumference of a circle?
As shown in the figure, the figure obtained by splicing a rectangle with a cyclotron is only an approximation.

Suppose the radius of a circle is r and the circumference of a rectangle is 2πr+2r.

According to the meaning and known, there are:

2πr+2r=4 1.4

(π+ 1)r=20.7

r=20.7/(π+ 1)

The circumference of a circle is 2π r = 2π× 20.7/(π+1) = 41.4π/(π+1).

The area of a circle is π R2 = π× [20.7/(π+1)] 2 = 428.49 π/[(π+1) 2].

If π=3. 14 is substituted into the above formula, there is:

The circumference of a circle is: 41.4 π/(π+1) = 41.4× 3.14/(3.14+1) = 3.

The area of the circle is 428.49 π/[(π+1) 2] = 428.49× 3.14/[(3.14+1) 2] = 78.5.

That is, the required perimeter is 3 1.4 and the required area is 78.5.