Question

Construct a regular heptagon with one of its sides 3 cm long.

Answer 1

Hint: We know that heptagon is a polygon having seven sides and all the seven sides are equal. So, we are going to draw a heptagon by constructing a circle first of any radius but something greater than 3 cm. After that, we will draw a chord of length 3 cm on the circle then put a compass on one of the points of the chord which lies on the circle and open the compass with a length of 3 cm and cut an arc on the remaining part of the circle. Repeat the process till you reach the point when we have started making arcs.

Complete step by step answer:
We will start by constructing a circle of radius 3.5 cm.

Then we are going to construct a chord of length 3 cm on the above circle.

Now, we will open our compass of radius 3 cm and place the needle of the compass on point D and then we will cut an arc on the circle in the following way.

In the above figure, we have cut an arc on the circle at point E when the needle of the compass is placed on point D.
Now, with the same length of the radius of the compass which is 3 cm, place the needle on E and make another arc on the circle

Now, repeat this process until the last arc will be on I and then join I to C.

In the above figure, we have drawn a regular heptagon with length of the side as 3 cm.
Hence, we have constructed a regular heptagon with one of its side length as 3 cm.

Note:
To draw this regular heptagon, you should know what a regular heptagon is. Then you can proceed to draw a heptagon. The possible mistake that could happen is you might wrongly open the compass corresponding to radius 3 cm so make sure you have correctly opened the compass and then make an arc.