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Mekhanik [1.2K]
3 years ago
10

SOMEONE HELP PLEASE!IM SO CONFUSED

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

9514 1404 393

Answer:

  arc MKL ≈ 19.02 m

Step-by-step explanation:

The figure shows angle KNL is the complement of angle KNJ, so is ...

  ∠KNL = 90° =∠KNJ

  ∠KNL = 90° -52° = 38°

We know that KM is a diameter, so arc MJK = 180°, and ...

  arc MKL = 180° +38° = 218°

In radians, that angle measure is ...

  218° × π/180° rad = 109π/90 rad

An arc length is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the radian measure of the arc

For this problem, the radius is MN = 1/2MK = 5 m, and the length of arc MKL is ...

  s = rθ

  arc MKL = (5 m)(109π/90) = 109π/18 m

  arc MKL ≈ 19.02 m

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