
Mara N.
asked 02/11/22Areas of Regular polygon
So I tried to do this problem but when i checked my answer it was incorrect and I have no idea what I did wrong.
Here is the question
Find the area of each regular polygon with the given radius or apothem. If your
answer is not an integer, leave it in simplest radical form.
The shape is a square with a radius of 8 mm
2 Answers By Expert Tutors
For a square, the apothem is the line segment from its center at right angles to any of its sides. As such, it would equal one-half of a side length. The apothem is also the radius of the inscribed circle. The area of a square is s2 where s is the side length. We have 8 = s/2, so s = 16 and the square's area = 162 = ____ mm2.

Mark M. answered 02/11/22
Mathematics Teacher - NCLB Highly Qualified
The diameter is 16 mm
d = s√2
16 / √2 = s, s2 = A
(16 / √2)2 = A
256 / 4 = A
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Brenda D.
02/11/22