Question

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9. Poppy is using wire to make metal wall hangings
radius shown for her friends. Her older sister is
hangings with a diameter that is 12 inches longer
How much more wire did her sister use per
Poppy? Use 3.14 for it. Write your answer as a
the nearest hundredth.
all hangings that have the
sister is making her wall
thes longer than Poppy's.
per wall hanging than
er as a decimal rounded to

Answer 1

To determine how much more wire the sister used, we calculate the difference in circumference based on the increased diameter of 12 inches using the formula C = πd. The extra wire length is 3.14 • 12, which is the difference in circumference between the sister's and Poppy's wall hangings.

Step-by-step explanation:

The student's question focuses on comparing the length of wire used by Poppy and her sister for making metal wall hangings. Poppy's wall hangings have an unspecified radius, while her sister's hangings have a diameter that is 12 inches longer than Poppy's. The amount of wire corresponds to the circumference of the wall hangings, which can be found by using the diameter to calculate the circumference with the formula C = πd, where C is the circumference and d is the diameter.

To find out how much more wire the sister used per wall hanging than Poppy, we first determine the diameter of Poppy's hangings. Let's denote it as d, then her sister's hangings' diameter would be d + 12 inches. Using 3.14 for π, the difference in wire used would be 3.14 • (d + 12) - 3.14 • d, which simplifies to 3.14 • 12. After calculating and rounding to the nearest hundredth, we get the answer.