Radius of a circle inscribed in a regular hexagon is 24 c.m. then find the length of the side of hexagon
To find the length of the side of a regular hexagon, we can use the formula for the radius of the inscribed circle. In a regular hexagon, the radius of the inscribed circle is equal to half the side length.
Given that the radius of the circle is 24 cm, we can substitute this value into the formula:
radius = side length / 2
Rearranging the formula to solve for the side length, we get:
side length = radius x 2
Substituting the value of the radius (24 cm) into the formula, we have:
side length = 24 cm x 2
Evaluating the expression, we find:
side length = 48 cm
So, the length of each side of the hexagon is 48 cm.
Think of the hexagon as six equilateral triangles. The altitude of each triangle is 24.
So, the side of each triangle (equal to the sides of the hexagon are) 48/√3