Question

The ant repeats the two steps 7 times going around the polygon until it reaches its starting position .the ant makes one complete revolution (360 degree) to draw this regular 7 sided polygon. The value of A correct to 1 decimal place is ____________

Answer 1

(C)51.4 degrees

Explanation:

The sum of the exterior angle of a polygon is 360 degrees. (one complete revolution).

Given a regular polygon, the sum of each exterior angle is calculated using the formula:

`(360^\circ)/(n)` where n is the number of sides.

The regular polygon shown made by the ant has 7 sides.

Therefore:

Each exterior angle
`=(360^\circ)/(7)=51.43^\circ`

Therefore:

The value of A correct to 1 decimal place is 51.4 degrees.

The correct option is C.