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PROBLEM 1. Mr. Javier designed an arch made of bent iron for the top of a school's main entrance. The 24 segments between the two

PROBLEM 1. Mr. Javier designed an arch made of bent iron

for the top of a school's main entrance. The

24 segments between the two concentric semicircles

are each 1 meter long. Suppose the diameter of the

inner semicircle is 6 meters. What is the total length of the

bent iron used to make this arch?

PROBLEM 2. A bicycle chain fits tightly around two gears. What is the distance between the

centers of the gears if the radii of the bigger and smaller gears are 10.4 inches and 3.4

inches, respectively, and the portion of the chain tangent to the two gears is 30.4

inches long?

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