How do you find the chord? Don't just give me the answer bc im not gonna learn anything that way.
What is the length of chord ?
Possible Answers:
25
29
14
20
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OpenStudy (anonymous):
Directrix (directrix):
Attached is the theorem you will need for this problem.
OpenStudy (anonymous):
Thanks
Directrix (directrix):
Set up the equation, and let's see how it goes.
OpenStudy (anonymous):
My problem doesn't look like the example in the equation sample so im kinda stuck?
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Directrix (directrix):
You have some other theorems to use to get ready to apply the first theorem.
If a diameter is perpendicular to a chord, it bisects the chord and its arcs.
So, the two segments of chord AB are congruent. Assign x as the length of both segments.
Directrix (directrix):
Question: What is the measure of the diameter of the given circle?
Directrix (directrix):
Now, you are ready to use the theorem:
x * x = 25 * 4
Solve for x.
@Arianna.Stephen
OpenStudy (anonymous):
2x=100
OpenStudy (anonymous):
I think thts wrong?
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Directrix (directrix):
x times x is not 2x; just as 5 times 5 is not two times 5.
Try again.
OpenStudy (anonymous):
\[x^{2}=100\]
Directrix (directrix):
Yes, so what is the value of x?
OpenStudy (anonymous):
\[10^{2}\]
Directrix (directrix):
x squared = 100
so x = 10 and the chord = 10 + 10 = 20
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