By joining any three vertices of a regular hexagon, an isosceles triangle can be drawn.

Identify the type of triangle you have drawnĪ regular hexagon is a polygon with eight sides of equal length. Connecting any three of its vertices, draw a triangle. Draw a prism with its base as regular hexagon with one of its face. NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.8 Question 3 Draw a rough sketch of a regular hexagon. Visualising The Solid Shapes - NCERT - Exemplar Mathematics book. We will be using the concepts of a regular polygon to solve this.Ī polygon is a closed figure made of three or more line segments.Ī regular hexagon is a polygon with six sides of equal length. Identify the type of triangle you have drawn Use a T square and a 30°/60° triangle to draw the remaining sides of the figure tangent to the circle and at 30° to the horizontal.įig.Draw a rough sketch of a regular hexagon. Draw lines tangent to the circle and perpendicular to AB at A and B. Draw horizontal diameter AB and vertical center line. 4-27 Construction of a Regular Hexagon, Circumscribed Circle, Triangle Method Regular Hexagon on a Given Inscribed Circleįigure 4-28 shows a method of constructing a regular hexagon on a given inscribed circle.

Set a compass to BC, lay off this interval around the circumference, and connect the points of intersection.įig. Draw vertical diameter AB, and use a T square and a 30°/60° triangle to draw BC from B at 30° to the horizontal. 4-26 Construction of a Regular Hexagon Triangle Methodįigure 4-27 shows another method of constructing a regular hexagon in a given circumscribed circle. From C, draw a line CE equal to OB then lay off this interval around the circle, and connect the points of intersection.įig. Lay off the horizontal diameter AB and vertical diameter CD. The radius of the circumscribed circle (which equals one-half the long diameter of the hexagon) is equal in length to the length of a side. The diameter of the circumscribed circle has the same length as the long diameter of the hexagon. Figure 4-26 shows a method of constructing a regular hexagon in a given circumscribed circle. Many bolt heads and nuts are hexagonal (six-sided) in shape. Regular Hexagon in a Given Circumscribed Circle

Draw a perfect hexagon