Question

A man runs on a straight path. He starts to run in a park which is similar to a clock. He starts at 12 moves to 1 then to 3, 3 to 4, 4 to 5, 5 to 6, 6 to 7, 7 to 8, 8 to 9, 9 to 10, 10 to 12. Name the path in which he ran and also the total angle subtended at the center by his path. [4 MARKS]

Answer 1

Visualisation : [1 Mark]
Diagram : [2 Marks]
Solution : [1 Mark]
As per the question, we can draw the diagram which is shown below.
We can clearly see that a polygon is formed which has 10 sides.
A polygon with 10 sides is known as Decagon.

It is called decagon. His path subtends an angle of 360 degrees at the center because his end point and starting point coincide. He started from 12 and reached the same point.Hence, completing 360 degrees.