Question

Find the number of sides of a regular polygon with each exterior angle is equal to 400​

Answer 1

Step-by-step explanation:

Given Question:-

Find the number of sides of a regular polygon with each exterior angle is equal to 400

Correct Question:-

Find the number of sides of a regular polygon with each exterior angle is equal to 40°

(The sum of all exterior angles of a regular polygon is 360°)

Given:-

Exterior angle of a regular polygon is 40°

To find:-

Find the number of sides of a regular polygon ?

Solution:-

Given that :

Each exterior angle of a regular polygon = 40°

Let the number of sides in the polygon be n

We know that

Each exterior angle of a regular polygon of n sides is 360°/n

=> 360°/n = 40°

=> 360° = 40° × n

=> n × 40° = 360°

=> n = 360°/40°

=> n = 9

Number of sides = 9

It's a Nonagon

Answer:-

Number of sides in the given regular polygon is 9

Used formula:-

• Each exterior angle of a regular polygon of n sides is 360°/n

• The sum of all exterior angles of a regular polygon is 360°