Answer:
JM ≈ 12.9 miles
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference × fraction of circle
= πd × [tex]\frac{90}{360}[/tex]
JM = π × 16.4 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{16.4\pi }{4}[/tex] ≈ 12.9
The length of the arc JM will be 12.88 miles.
Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/360) 2πr
The diameter is 16.4 miles. Then the radius will be
r = d / 2
r = 16.4 / 2
r = 8.2 miles.
And angle (θ) will be 90 degrees.
Then the length of the arc JM will be
Arc = (90/360) 2π x 8.2
Arc = 12.88 miles
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
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