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 ha

Question

3 years ago

6

ve the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

2 answers:

kupik [55] · Answer 1 · 2022-06-22T06:58:18+03:00

kupik [55]3 years ago

7 0

Step-by-step explanation:

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jeka57 [31] · Answer 2 · 2022-06-22T05:28:06+03:00

Answer:

Step-by-step 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 = $\sqrt{II}$ r

perimeter square = 4x = 4*r* $\sqrt{II}$

perimeter circle = 2*r*π

<=> 390 = 4*r* $\sqrt{II}$ + 2*r*π

<=> r = 29.16

=> perimeter square = 4*29.16*π

=> perimeter circle = 58.32π