SOLUTION: A coin of radius 1 cm is rolled around a square of side 10cm, always being in contact with the edge of the square. Find the exact distance travelled by the centre of the coin when

Algebra ->  Polygons -> SOLUTION: A coin of radius 1 cm is rolled around a square of side 10cm, always being in contact with the edge of the square. Find the exact distance travelled by the centre of the coin when       Log On


   



Question 1179591: A coin of radius 1 cm is rolled around a square of side 10cm, always being in contact with the edge of the square. Find the exact distance travelled by the centre of the coin when the coin has travelled once around the square.
Answer by ikleyn(52786) About Me  (Show Source):
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ANSWER.  40+%2B+2%2Api  centimeters = 46.28 centimeters (rounded).



Explanation.  The path of the center consists of 4 segments of the length of 10 cm each, parallel to the sides of the square

(outside the square)  PLUS  4 (four)  arcs of a circle of the radius of 1 cm and the angle measure of 90 degrees each.

Solved, answered and explained.