determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

Step-by-step explanation:

other two sides joining center to the ends of chord=radius of circle=12 in

using cosine formula

$cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches$

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<h3>Answer:- </h3>

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LUCKY_DIMON [66]

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