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Mekhanik [1.2K]
3 years ago
6

Which best describes how to find the length of an arc in a circle?

Mathematics
2 answers:
Vesna [10]3 years ago
5 0
A. Simplify the fraction of the arcs degree over 360 then multiply by the circumference of the circle
Schach [20]3 years ago
3 0

Answer:

<h2>A. Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.</h2>

Step-by-step explanation:

The first choice describes the right way to find the length of an arc in a circle.

The length of an arc is defined as

L=2\pi r (\frac{\theta}{360\°} )

Where 2\pi r represents the circumference of the circle and \theta represents the arc's degree measure.

So, as you can observe through this formula, we need to divide the arc's degree measure by 360°, and then multiply this result with the circumference of the circle, that's the right way based on the definition of arc length.

Therefore, the right answer is A.

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Step-by-step explanation:

Consider the below figure attached with this question.

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base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

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Taking square root on both sides.

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Let length of HI be x.

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Use Pythagoras theorem in ΔKLI,

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(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

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From (1) and (2) we get

x^2+81=x^2+24x-81

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Taking square root on both sides.

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KI=11.25

Hence, the measure of KI is 11.25 units.

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