Concept explainers
To calculate:the radius of the
Answer to Problem 23WE
The radius of the circle that contains the arc is 20.
Explanation of Solution
Given information:
The bridge’s span is 24 metres.
Midpoint of the arc is 4 meter higher than the endpoints.
Calculation:
Consider the image:
Arc
The bridge’s height is 24 metres.
Therefore
The arc's midpoint is 4 m higher than the endpoints.
Therefore,
Also
Consider the following theorem
When two chords meet inside a circle, the segment product of one chord is equal to the segment product of the other chord.
Since,
Therefore,
Now Solving the below:
Since,
Therefore, the radius of the circle that contains the arc is 20.
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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