Question

Aregular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of

Answer 1

Answer:

The number of sides the polygon have 9

Step-by-step explanation:

Given in question as :

For The circle ,  the central angles measure be 40 °

Let the number of sides of polygon =  n

Now . as we know

External angle =  $\frac{360^{\circ} }{n}$

Or ,           40° = $\frac{360^{\circ} }{n}$

Or, $\frac{360^{\circ} }{n}$ = 40°

Or, $\frac{360^{\circ} }{n}$ = 40°

So, n = $\frac{360^{\circ} }{40^{\circ}}$ = 9

Hence The number of sides the polygon have 9      Answer