If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?
1 answer:
Answer:
Step-by-step explanation:
Conditions
- A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
- The diameter meets the sidewalk at the sidewalk's midpoint.
- The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
- The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
- If all these conditions are met, the relationship between the four lines is
Equation
48/12 = x^2
Solution
4 = x^2
sqrt(x^2) = sqrt(4)
x = 2
The length of the sidewalk is 4. Why is it doubled.
Because there are 2 xs of equal length
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AB =
= 
BC =
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CD =
= 
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