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N
U
a
Destinee is jogging on a circular track that has a radius
of 79 feet. She runs along the track from point R to
point distance of 126 feet. Find to the nearest
degree, the measure of arc RN.

Sagot :

Reinhard10158idn

Step-by-step explanation:

it seems there are some mistakes with this text.

if I understand correctly, than she runs on a circular track with a radius of 79 ft for 126 ft.

and we need to find the angle of the arc (the part-circle) she was running.

for that we need to find the ratio arc length / circle circumference, and then multiply that with 360° (you know, a full circle represents 360°, one full turn around), and that will be the arc angle.

the circle circumference is

2×pi×r = 2×pi×79 = 496.3716393... ft

the arc angle is therefore

360 × 126 / 496.3716393 = 91.38314201...°

rounded to the nearest degree : 91°

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