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?

Guest Oct 14, 2022

#2**+1 **

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.

!

asinus Oct 14, 2022