Nadia drew a design for a copper wire sculpture as shown above.She plans to make a wire frame that includes the perimeter of the
square and the circumference of the circle.She has 5 feet of copper wire.Does she have enough wire for the sculpture?
1 answer:
Answer:
She does not have enough wire.
Step-by-step explanation:
The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.
She has in possession a 5 ft of copper to construct a circle inscribe in a square.
The square is 9 inch length.
Perimeter of the square = 4L
where
L = length
Perimeter of the square = 4 × 9
Perimeter of the square = 36 inches
Circumference of a circle = 2πr
r = diameter/2 = 9/2 = 4.5 inches
Circumference of a circle = 2 × π × 4.5
Circumference of a circle = 2 × 4.5 × 3.14
Circumference of a circle = 9 × 3.14
Circumference of a circle = 28.26 inches.
The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.
She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.
12 inches = 1 foot
64.26 inches = ?
cross multiply
wire required for the sculpture = 64.26/12
wire required for the sculpture = 5.355 ft
She does not have enough wire.
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