Point is 9 units from the center of a circle of radius 15. How many different chords of the circle contain and have integer lengths?
+14968 How many different chords of the circle contain and have integer lengths?
Hello Guest!
The largest chord is diameter 30. Your sections are 6 and 24.
The product of the respective chord sections is constant (tendon law).
The product of all chord segments is 144.
144 = 6 * 24, 6 + 24 = 30 This is the largest chord.
144 = 8 * 18, 8 + 18 = 26
144 = 9 * 16, 9 + 16 = 25
144 = 12 * 12, 12 + 12 = 24 This is the smallest chord.
Four different chords with integer length are possible.
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