Question

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?

Answer 1

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