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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. 

 Apr 6, 2016
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We need to find the perimeter of two half circles, one with a radius of 15/ 2  = 7.5 m, and the other with a radius of [7.5 - 1.25] = 6.25 m

 

This is given by :

 

pi [ 7.5 + 6.25]  = about 43.2 meters

 

The rest is easy......the total length of the 11 segments =  11*1.25 = 13.75m

 

So....the total length  of the wrought iron = 43.2 + 13.75 = about 56.95 m

 

 

 

cool cool cool

 Apr 6, 2016

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