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Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.

Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the to class=

Answer :

nobillionaireNobley
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

Answer:

57 m

Step-by-step explanation:

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