Question

Which figure has a perimeter closer to the circumference of a circle, a regular polygon with 24 sides or a regular polygon with 48 sides? Complete the explanation.
A regular polygon with _____ (pick one, 24 or 48) sides, because as the number of sides of a polygon ____ (pick one, 24 or 48) , the perimeters of the polygons get closer to the circumference of the circle.

Answer 1

Answer:

A regular polygon with 48 sides

see the explanation

Step-by-step explanation:

we know that

As the number of sides of a regular polygon increase, the internal angle can come very close to 180°, and the shape of the polygon approaches that of a circle

so

As the number of sides of a regular polygon increase, the polygon gets closer and closer to a true circle

therefore

A regular polygon with 48 sides, because as the number of sides of a polygon 48, the perimeters of the polygons get closer to the circumference of the circle