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In the figure above the equal lateral polygon ABCD EF is inscribed in a circle if the length of the Arc. AFE is 10 pi find the length of the radius of the circle
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In the figure above the equal lateral polygon ABCD EF is inscribed in a circle if the length of the Arc. AFE is 10 pi find the length of the radius of the circle

User Sadet
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1 Answer

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Arc AFE is 1/3 the circumference of the circle, so has length (2πr/3).
.. 2πr/3 = 10π
.. r = (3/2)*10 = 15

The radius of the circle is 15 units.
User Vladimir Tolstikov
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