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svlad2 [7]
3 years ago
11

A square lawn has area 128128 ft squared .ft2. a sprinkler placed at the center of the lawn sprays water in a circular pattern t

hat just covers the lawn. what is the radius of the​ circle?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
 We have then:
 A = L ^ 2 = 128
 L = root (128)
 L = 11.3137085
 Then, the diagonal of the square knowing its sides is:
 d = root ((L) ^ 2 + (L) ^ 2)
 d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
 d = 16 feet
 Finally the radius of the circle is:
 r = d / 2
 r = (16) / 2
 r = 8feet
 answer:
 the radius of the circle is
 r = 8feet
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