The radius of a circle is 18. Find the length of the peri
meter and the apothem of a
regular
(a) inscribed quadrilateral,
and
(b) circumscribed hexagon.
1
Expert's answer
2021-01-29T12:11:24-0500
An apothem of a regular polygon will always be a radius of the inscribed circle. It is also the minimum distance between any side of the polygon and its center.
(a) Consider isosceles right triangle N1OA
OA=AN1=2R=218=92
N1N4=2AN1=182
Perimeter=4N1N4=722
apothem=OA=92
(b) The circumscribed hexagon is defined as the hexagon is outside in the circle or circle is inside in the hexagon.
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