Question
Inscribe a regular hexagon in a circle of radius 3 .5 cm.
✓
Answer
Steps of construction:
(i) Draw a circle with centre O and radius = 3.5 cm.
(ii) Draw radii OA and OB such that ∠ AOB = (360/3) = 120°
(iii) Cut off arcs BC, CD, DE, EF and AF equal to AB.
(iv) Join AB, BC, CD, DE, EF and AF.
ABCDEF is the required regular hexagon inscribed in the given circle.
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
Prove that the points $A(-5, 4), B(-1, -2)$ and $C(S, 2)$ are the vertices of an isosceles right-angled triangle. Find the coordinates of D so that ABCD is a square.
→A buoy is made in the form of hemisphere surmounted by a right cone whose circular basecoincides with the plane surface of hemisphere. The radius of the base of the cone is $3.5$ metres and its volume is two third of the hemisphere. Calculate the height of the cone and the surfacearea of the buoy, correct to two places of decimal
→Using a graph paper, plot the points $A (6,4)$ and $B (0,4)$.
(a) Reflect A and B in the origin to get the image $A ^{\prime}$ and $B ^{\prime}$.
(b) Write the co-ordinates of $A ^{\prime}$ and $B ^{\prime}$.
(c) State the geometrical name for the figure $ABA ^{\prime} B ^{\prime}$.
(d) Find its perimeter.
→(a) Reflect A and B in the origin to get the image $A ^{\prime}$ and $B ^{\prime}$.
(b) Write the co-ordinates of $A ^{\prime}$ and $B ^{\prime}$.
(c) State the geometrical name for the figure $ABA ^{\prime} B ^{\prime}$.
(d) Find its perimeter.
Solve the following linear in-equation and graph the solution set on a real number line:
$\frac{1}{3}(2 x-1)<\frac{1}{4}(x+5)<\frac{1}{6}(3 x+4), x \in R$
→$\frac{1}{3}(2 x-1)<\frac{1}{4}(x+5)<\frac{1}{6}(3 x+4), x \in R$
\In a school, $100$ pupils have heights as tabulate below:
Find the median height by drawing an ogive.
→| Height $(in \ cm )$ | No. of pupils |
| $121-130 $ | $12$ |
| $131-40$ | $16$ |
| $141-150$ | $30$ |
| $151-160$ | $20$ |
| $161-170$ | $14$ |
| $171-180 $ | $8$ |
If $(x+3)$ and $(x-4)$ are factors of $x^3+a x^2-b x+24$, find the values of $a$ and $b$ : With these values of $a$ and $b$, factorise the given expression.
→→
The area between the circumferences of two concentric circles is $2464 cm^2$. If the inner circle has circumference of $132 cm$, calculate the radius of outer circle.
→Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for $1 \frac{1}{2}$ years at $16 \%$ p.a.
→Rs 20,000 for $1 \frac{1}{2}$ years at $16 \%$ p.a.