1.

The arch of a bridge has dimensions as shown, where thmeasure 2m as its highest point and its width is 6m. What is theradious of the circle that contain the arch.e arch2mm-_- B

Answer»

The height of the arch of the bridge = h = 2m

The width of the arch of the bridge = w = 6m

In order to find the radius of circle which contain this arch we use the following formula:

r = h/2+w^2/8h

substituting values of h and w in the above formula

r = 2/2+6^2/8x*2

simplifying

r = 1 + 36/16

r = 1 + 2.25

r = 3.25m

So, radius of circle which contain this arch is 3.25m.



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