Question
Construct a regular hexagon of side $2.5 \ cm$
✓
Answer
The length of the side of a regular hexagon is equal to the radius of its circumcircle.
Steps of construction:
$1$. Draw a circle of radius $2.5 \ cm$
$2$. Taking any point $A$ on the circumference of the circle as the centre, draw arcs of same radii $($i.e. $2.5 \ cm)$ which cut the circumference at $B$ and $F.$
$3$. With $B$ and $F$ as centres, again draw two arcs of same radii which cut the circumference at $C$ and $E$ respectively.
$4$. With $C$ or $E$ as the centre, draw one more arc of the same radius which cuts the circumference at point $D$.
In this way, the circumference of the circle is divided into six equal parts.
$5$. Join $AB , BC , CD , DE , EF$ and $FA$.
$\text{ABCDEF}$ is the required regular hexagon.
Steps of construction:
$1$. Draw a circle of radius $2.5 \ cm$
$2$. Taking any point $A$ on the circumference of the circle as the centre, draw arcs of same radii $($i.e. $2.5 \ cm)$ which cut the circumference at $B$ and $F.$
$3$. With $B$ and $F$ as centres, again draw two arcs of same radii which cut the circumference at $C$ and $E$ respectively.
$4$. With $C$ or $E$ as the centre, draw one more arc of the same radius which cuts the circumference at point $D$.
In this way, the circumference of the circle is divided into six equal parts.
$5$. Join $AB , BC , CD , DE , EF$ and $FA$.
$\text{ABCDEF}$ is the required regular hexagon.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Construct a trapezium $\text{ABCD}$ in which $AB = 3.5\ cm, BC = 6\ cm, CD = 3.5\ cm, AD = 4.4\ cm$ and $AD \| BC.$
→A dealer marks his goods $45\%$ above the cost price and then allows $20\%$ discount on it. What is the cost price of an article on which he gains $Rs.960$?
→In a $\triangle PQR,$ the internal bisectors of angles $Q$ and $R$ meet at $A$ and the external bisectors of the angles $Q$ and $R$ meet at $B.$ Prove that: $\angle QAR + \angle QBR = 180^\circ.$
→The mean of $10$ numbers is $24$. If one number is included, the new mean is $25$. Find the included number.
→A kite is flying at a height of 120 m from the level ground. It is attached to a string inclined at $60^{\circ}$ to the horizontal. Find the length of the string. (Take $\sqrt{3}$ = 1.73)
→In the given figure, $AD$ is the median on $BC$ from $A.$ If $AD = 8\ cm$ and $BC = 12\ cm,$ find the value of $\cos y$
→Calculate the amount and the compound interest on$:Rs. 16,000$ in $3$ years, when the rates of the interest for successive years are $10\ \%\ , 14\ \%\ $ and $15\ \%\ $ respectively.
→A man buys two articles at $Rs.410.$ He sells both at the same price. On one he makes a profit of $15\%$ and on the other a loss of $10\%.$ Find the cost price of both.
→A town has 15625 inhabitants. If the population of this town increases at the rate of 4% per annum, find the number of inhabitants of the town at the end of 3 years.
Find the value of:$1.35 + 1.5$
→