Engineering Board Exam Reviewer · Polygons · hard

A regular octagon has a side of 6. Find the radius of its circumscribed circle.

  1. 7.84
  2. 3
  3. 6
  4. 8.49

Answer

A. 7.84

Solution

The side subtends a central angle of 45°: R=s/2 22.5°=6/2(0.3827) 7.84.

More Polygons questions

  1. Find the area of a regular dodecagon inscribed in a circle of radius 10.
  2. A regular decagon is inscribed in a circle of radius 10. Find the length of one side.
  3. Find the area of a regular octagon whose side is 4.
  4. Find the apothem of a regular pentagon whose side is 10.
  5. Find the area of a regular hexagon whose side is 6.
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  7. Each interior angle of a regular polygon measures 150°. How many sides does it have?
  8. How many diagonals does a decagon have?
  9. Find the measure of each exterior angle of a regular octagon.
  10. Find the sum of the interior angles of a hexagon.

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