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Answer:
The area of the copper circle is <u>31.4 inches</u>.
Step-by-step explanation:
Given:
An artist used silver wire to make a square that has a perimeter of 40 inches.
She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.
Use 3.14 to represent π.
Now, to find the area of the copper circle.
Perimeter of square = 40 inches.
So, we get the side of square by putting formula:
Dividing both sides by 4 we get:
Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:
For getting the area of circle we find the radius:
Radius (r) =
Now, putting the formula to get the area of the circle:
Therefore, the area of the copper circle is 31.4 inches.
Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
x=
x=
or 
those are the 2 numbers
aprox=-28.65 and -0.349
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
x=
x=
those are the 2 numbers
aprox=-28.65 and -0.349