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
