contestada

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
the central angles has a measure of 40°. How many sides does the polygon have?
Save and Exit

Respuesta :

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 =  [tex]\frac{360^{\circ} }{n}[/tex]

Or ,           40° = [tex]\frac{360^{\circ} }{n}[/tex]

Or, [tex]\frac{360^{\circ} }{n}[/tex] = 40°

Or, [tex]\frac{360^{\circ} }{n}[/tex] = 40°

So, n = [tex]\frac{360^{\circ} }{40^{\circ}}[/tex] = 9

Hence The number of sides the polygon have 9      Answer

Otras preguntas