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 _

The correct value of A to 1 decimal place is .

Step-by-step explanation:

Given information:

The ant repeats the two steps 7 times going around the polygon

The sum of the exterior angle of polygon is

The formula for the exterior angle is

Here,

Hence, the Value of A will be

The correct value of A to 1 decimal place is .

For more information visit:

link

(C)51.4 degrees

Step-by-step 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:

where n is the number of sides.

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

Therefore:

Each exterior angle

Therefore:

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

The correct option is C.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya