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30 January, 23:48

A regular pentagon has an apothem of 7.43 cm. Find the length of a side of the pentagon and the length of the radius of the circumscribed circle

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  1. 31 January, 03:17
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    You have to figure it out. First, the sum of the angles in a polygon = n-2 (180) where n is the number of sides. For a pentagon, this is 5-2 (180) = 540. then divide by 5 for each of 5 large angles in the pentagon, and then divide by 2 for the angle formed by the radius in the right angle. This is 540/5=108 divided by 2 = 54 degrees in the right angle. Now that you know the angle, then use trig to solve the problem ...
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