SOLUTION: The right end point of an arc is tangent to a horizontal line. The arc length is 12. The left end point of the arc is 4 units above the horizontal line. How do you find the arc rad
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Question 950327: The right end point of an arc is tangent to a horizontal line. The arc length is 12. The left end point of the arc is 4 units above the horizontal line. How do you find the arc radius?
Thank you for solving this and showing me how.
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The right end point of an arc is tangent to a horizontal line. The arc length is 12. The left end point of the arc is 4 units above the horizontal line. How do you find the arc radius?
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It appears that this is not possible.
I know how to solve it, but the distance to the tangent point cannot be 12 units.
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I mistakenly labeled the horizontal distance as 12 also.
It's always hard to locate your own mistakes.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
From the arc length,
The blue line is the bisector of angle .
You know that,
The angle in the small triangle opposite the length 4 is also .
So then,
Substituting,
From the arc length,
Substituting,
Iterating using EXCEL,
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