Answer :
Answer:
The correct option is;
20-gon
Step-by-step explanation:
The area, A, of a regular polygon is given as follows;
[tex]A = \dfrac{n \times s \times a}{2} = \dfrac{P_p \times a}{2}[/tex]
Where;
n = The number of sides
s = The length of one side of the polygon
a = The apothem
[tex]P_p[/tex] = The perimeter of the polygon
Where
The area of a circle, A[tex]_c[/tex] = π×r² = π × r × r = 2× π × r × r/2 = P/2 × r
Given that the apothem, a, of a 20-gon circumscribed about a circle is approximately the length of the radius of the circle, and the perimeter of the 20-gon is approximately the perimeter (circumference) of the circle, the area of the 20-gon circumscribed about a circle provides the best estimate for the area of the circle.