Question

K

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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1

Answer 1

7.85 units

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Answer 2

Explanation:

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

`j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45`

Arc Length s =

given r = 10 units,

`= ((j)/(360) ) * 2\pi \: r \\ = ( (45)/(360) ) * 2\pi(10) \\ = 0.125 * 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)`