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Dimensions of a Track A running track has the shape shown in the figure, with straight sides and semicircular ends. If the length of the track is 440 yd and the two straight parts are each 110 yd long, what is the radius of the semicircular parts (to the nearest yard)?
![Check Mark](/static/check-mark.png)
To find: The radius of semicircular parts.
Answer to Problem 44E
The radius of semicircular parts is 35 yd.
Explanation of Solution
Given:
The length of the track is 440 yd.
The length of each of the two straight parts is 110 yd.
Calculation:
Let the radius of semicircular parts be x.
Tabulate the given information into the language of algebra.
In words | In Algebra |
Radius of semicircular parts | x |
Circumference of semicircle |
|
Model the equation for the above information.
Simplify the above equation for x,
Thus, the radius of semicircular parts is 35 yd.
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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