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Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
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K Given That MJKL 94º MKL 41 And The Radius Of The Circle Is 10 Units Find S Rounded To The Nearest Hundredth Units S Reset Next Tum All Rights Reserved 1 class=

Sagot :

Step-by-step explanation:

angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)

[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]

Arc Length s =

given r = 10 units,

[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]

Answer:

7.85 units

Hope this helped and have a good day :D

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