The measure of NK( = x) is 4 units in the circle when two chords intersect each other.
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a circle in which chords JK and LM are intersecting.
JN = 3 units
LN = 2 units
NM = 6 units
NK = x units.
We know that when two chords of a circle are intersecting each other their product of segments is equal, ie.
JN×NK = LN×NM
3×[tex]\rm x[/tex] = 2×6
[tex]\rm x =\frac{12}{3}[/tex]
x = 4 units
Thus, the measure of NK( = x) is 4 units in the circle when two chords intersect each other.
Learn more about circle here:
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