Engineering Board Exam Reviewer · Polygons · medium

A regular decagon is inscribed in a circle of radius 10. Find the length of one side.

  1. 3.09
  2. 6.28
  3. 6.18
  4. 7.07

Answer

C. 6.18

Solution

Each side subtends a central angle of 36°. s=2r 18°=20 18° 6.18.

More Polygons questions

  1. Find the area of a regular octagon whose side is 4.
  2. Find the apothem of a regular pentagon whose side is 10.
  3. Find the area of a regular hexagon whose side is 6.
  4. A polygon has 54 diagonals. How many sides does it have?
  5. Each interior angle of a regular polygon measures 150°. How many sides does it have?
  6. How many diagonals does a decagon have?
  7. Find the measure of each exterior angle of a regular octagon.
  8. Find the sum of the interior angles of a hexagon.
  9. Find the sum of the interior angles of a 12-sided polygon (dodecagon).
  10. Find the measure of each interior angle of a regular nonagon (9 sides).

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