Question

A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How much has the polygon

rotated after 7 minutes?
14
21
35

Answer 1

In 7 minutes, the clock has rotated 42 degrees

Solution:

Given, A clock is constructed using a regular polygon with 60 sides.

The polygon rotates every minute.

As there will be 60 minutes in clock, and this clock has 60 sides, each minute represents a side.

Now we know that, in a clock, 1 hour = 60 minutes

60 minutes = 360 degrees

Then, 7 minutes = “n” degrees

So, by criss cross multiplication,

`\begin{array}{l}{n * 60=360 * 7} \\\\ {\rightarrow n=6 * 7} \\\\ {\rightarrow n=42}\end{array}`

Hence, in 7 minutes, the clock has rotated 42 degrees