Question

A 6 -sided regular polygon(hexagon) is insvribed in a circle of radius of 10cm.Find the length of one side of the hexagon​

Answer 1

If we divide a regular hexagon in 6 equal parts we 6 congruent equilateral triangles. Hence side of the hexagon will be equal to the radius i.e., 10cm.

*apologies for poor diagram.

Answer 2

Answer:

Length of the side of polygon = 10 cm.

Step-by-step explanation:

Given that a 6-sided regular polygon (hexagon) is incribed in a circle

Radius of the circle = 10 cm

here we need to find length of the side of the hexagon

Given that polygon (hexagon) is regular

then each side of the polygon will be equal    

Draw picture of incribed hexagon in a circle and join the vertices of hexogon to the centre of the circle then the hexagon will be divided into 6 equilateral triangles.Radius of the circle will become as its side. (see the picture given below )

As we know that sides of equilateral are equal, three sides of the triangle are 10 cm

Therefore, side of the polygon = 10 cm