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
ve the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?
2 answers:
Answer:
Step-by-step explanation:
Let x is the length of the square side.
We know: the two figures have the same area
<=> = π
(r being radius)
<=> x = r
perimeter square = 4x = 4*r*
perimeter circle = 2*r*π
<=> 390 = 4*r* + 2*r*π
<=> r = 29.16
=> perimeter square = 4*29.16*π
=> perimeter circle = 58.32π
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