Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles a
re each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.
2 answers:
Answer:
57 m
Step-by-step explanation:
Diameter of the bigger semi-circle is 15 m
circumference of the bigger semi-circle = πd = 15π
diameter of the smaller semi-circle = 15 - 2(1.25) = 15 - 2.5 = 12.5 m
circumference of the smaller semi-circle = πd = 12.5π m
Total length of the segments between the two circles = 11(1.25) = 13.75 m
Total length of wrought iron used = 15π + 12.5π + 13.75 = 100 m
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