Question

Each interior angle of a regular polygon is four times of its each exterior angle. If the side of the given polygon is 9.6 cm, then the perimeter of the polygon is

Answer 1

Answer:

Step-by-step explanation:

umber of sides in the polygon?

Every polygon has total 360 degrees in exterior when added.

So,

4 x 360=1440 degrees.

=>Let the number of sides be X

(X-2)x180=1440

(X-2)=1440/180=8

X=8+2=10

X = 10

Answer 2

Answer:

96cm

Step-by-step explanation:

Let the  each interior angle =  y = 4x

Let the each exterior angle = x

So,

y=4x

No. of Sides = 360°/x

Exterior angle+ Interior angle = 180°

5x = 180

x = 36°

So, no. of sides = 360/36 = 10 sides

Perimeter = 9.6*10 = 96cm

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