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Alison is jogging on a circular track that has a radius of 140ft. The runs along the track from point R to point N (Major arc), a distance of 230ft. Find to the nearest degree the measure of minor arc RN

Answer :

Answer:

The value of angle of arc RN [tex]\theta = 94.17[/tex] °

Step-by-step explanation:

Radius of the arc = 140 ft

Length of the arc = 230 ft

The angle of arc is given by the formula

[tex]\theta = \frac{arc length}{radius }[/tex]

[tex]\theta = \frac{230}{140}[/tex]

[tex]\theta = 1.642 \ radian[/tex]

[tex]\theta = 1.642 \frac{180}{\pi}[/tex]

[tex]\theta = 94.17[/tex] °

This is the value of angle of arc RN.

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