Question
Draw a circle with radius 3 cm and inscribe an equilateral triangle in it.

Answer


Steps of construction:
(i) Draw a drde with centre 0 and radius= 3 cm.
(ii) Draw radii OA and OB sudi that LAOB = (360/3) = 120°
(iii) Join AB. Cut off arcs AC and BC equal to AB.
(iv) Join AC and BC.
Δ ABC is the required equilateral triangle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A solid, consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is $3 \ cm$ and its height is $6 \ cm;$ the radius of the hemisphere is $2 \ cm$ and the height of the cone is $4 \ cm.$ Give your answer to the nearest cubic centimeter.
Find the ratio in which the point $P (2, 4)$ divides the line joining points $(-3, 1)$ and $(7, 6).$
Prove that, of any two chords of a circle, the greater chord is nearer to the centre.
Prove the following identitie:$\frac{\sin A-\cos A+1}{\sin A+\cos A-1}=\frac{\cos A}{1-\sin A}$
A $20 \ m$ high vertical pole and a vertical tower are on the same level ground in such a way that the angle of elevation of the top of the tower, as seen from the foot of the pole is $60^\circ$ and the angle of elevation of the top of the pole, as seen from the foot of the tower is $30^\circ$ . Find:
$(i)$ the height of the tower ;
$(ii)$ the horizontal distance between the pole and the tower.
Given equation of line $L_1$ is $y = 4.$
(i) Write the slope of line $L_2$ if $L_2$ is the bisector of angle $O.$
(ii) write the co-ordinates of point $P.$
(iii) Find the equation of $L_2$​​​​​​​
Calculate the arnount and the cornpound interest for the following:
Rs 20,000 for 3 years at $7 \frac{1}{2} \%$ for the first year, $8 \%$ for the second year and $10 \%$ for the third year.
If $A=\left[\begin{array}{ll}0 & -1 \\ 4 & -3\end{array}\right], B =\left[\begin{array}{c}-5 \\ 6\end{array}\right]$ and $3 A \times M =2 B$; Find matrix $M$
A lawn is in the shape of a semi-circle of diameter $42 m$. The lawn is surrounded by a flower bed of width $7 m$ all around. Find the area of the flower bed in $m^2$ .
In figure, $A B C$ is an isosceles triangle inscribed in a circle with centre $O$ such that $A B=A C=13 cm$ and $B C=10 cm$. Find the radius of the circle.