Find the value of z.
A. 6
B. 3
C. 4
D. 2
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The two chords on top of each other are the same length as the single vertical chord.
The vertical chord is 2 + 4 +2 = 8 units long.
Z = 8-2 = 6
The answer is A.
Length of chord z is 6.
It is defined as the line segment joining any two points on the circumference of the circle, not passing through its center. Therefore, the diameter is the longest chord of a given circle, as it passes through the center of the circle.
From the figure we can write,
[tex]z+2=2+4+2[/tex]
[tex]z+2=8[/tex]
[tex]z=8-2=6[/tex]
Length of chord z is 6.
Find out more information about chord length here
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