Question

each sides of a regular polygon measures 3.2 cm.Find the number of sides of the polygon if its perimeter. is 19.2 cm​

Answer 1

Answer:

this is what you are looking for

Answer 2

Given :

• Measure of each side of a regular polygon = 3.2 cm

• Perimeter of the regular polygon = 19.2 cm

To find :

• Number of sides of the regular polygon

Solution :

★ Regular polygon is a polygon whose all the sides are equal and all the interior angles and exterior angles are equal to each other.

Formula to calculate number of sides of a regular polygon = Perimeter of the regular polygon ÷ Measure of each side of the polygon

→ No. of sides of a regular polygon = 19.2 ÷ 3.2

→ No. of sides of a regular polygon = 6

Therefore, the number of sides of a regular polygon = 6 sides

Extra information :

Formula to calculate the sum of interior angles of a polygon = (2n - 4) × 90°

where,

• n denotes the number of sides of the polygon

The sum of exterior angles and interior angles is always equal to 180°.

Formula to calculate interior angles when, the measure of exterior angles is given :-

→ Interior angles = 180° - Exterior angle

Formula to calculate exterior angles when, the measure of interior angles is given :-

→ Exterior angles = 180° - Interior angles