Assuming the diagram shows circle O with chords PM and LN. The Length of chord LN is 15 inches.
Length of chord LN
Let Angle subtended by Arc PL= 10°
Let Angle subtended by Arc LM= 14°
Let Angle subtended by the Arc LN=24°
Let Length of chord PM = 15 inches
Based on the diagram PM will equal LN reason being that the angle subtended by the Arc at the middle of the circle is the same which therefore means that the chords which makes the Arc will also be the same.
Hence:
Since PM=15in, LN will also be 15in
PM=LN
Inconclusion the Length of chord LN is 15 inches.
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