Question

A wire 390 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

Answer 1

Explanation:

Let x is the length of the square side.

We know: the two figures have the same area

<=>
`x^(2)` = π
`r^(2)` (r being radius)

<=> x =
`√(II)` r

perimeter square = 4x = 4*r*
`√(II)`

perimeter circle = 2*r*π

<=> 390 = 4*r*
`√(II)` + 2*r*π

<=> r = 29.16

=> perimeter square = 4*29.16*π

=> perimeter circle = 58.32π

Answer 2

Explanation:

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