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23-08-2016
Mathematics

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A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is

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Avinoam Avinoam

23-08-2016

The arc length is 8π.
The circumference of the circle is 2πr = 9π.

[tex] \frac{arc}{circumference} = \frac{angle}{360} [/tex]

so [tex] \frac{8 \pi }{9 \pi } = \frac{x}{360} [/tex]

cross-multiply: 9x = 360(8)

x = 320

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