The radius of the curvature is 10ft and the height of the segment is 2ft whatthe length of the chord? a. 10ft, b. 15, c. 7.5, d. 12ft

Question

Mathematics

Mitchell Webb

20 May, 09:59

The radius of the curvature is 10ft and the height of the segment is 2ft whatthe length of the chord? a. 10ft, b. 15, c. 7.5, d. 12ft

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Answers (1)

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Isabell Mitchell · Answer 1

Radius of curvature = 10'

Diameter of circle = 2 * 10' = 20'

height of segment = 2'

Let semi-chord be x.

Then by the intersecting chord property,

2 * (20-2) = x^2

x^2=36

x=sqrt (36) = 6

=>

chord=2x=2*6=12'