Question
Represent $\sqrt{4.7}$ geometrically on the number line.
✓
Answer
Draw a line segment $AB = 4.7$ units and extend it to $C$ such that $BC = 1$ unit.
Find the midpoint $O$ of $AC$. With $O$ as centre and $OA$ as radius, draw a semicircle.
Now, draw $\text{BD}\perp\text{AC},$ intersecting the semicircle at $D$.
Then, $\text{BD}=\sqrt{4.7}\text{units}.$ With $B$ as centre and $BD$ as radius, draw an arc, meeting $AC$ produced at $E$.
Then, $\text{BE}=\text{BD}=\sqrt{4.7}\ \text{units}.$
Find the midpoint $O$ of $AC$. With $O$ as centre and $OA$ as radius, draw a semicircle.
Now, draw $\text{BD}\perp\text{AC},$ intersecting the semicircle at $D$.
Then, $\text{BD}=\sqrt{4.7}\text{units}.$ With $B$ as centre and $BD$ as radius, draw an arc, meeting $AC$ produced at $E$.
Then, $\text{BE}=\text{BD}=\sqrt{4.7}\ \text{units}.$
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
Through $A, B$ and $C,$ lines $RQ, PR$ and $QP$ have been drawn, respectively parallel to sides $BC, CA$ and $AB$ of a $\Delta\text{ABC}$ as shown Show that $\text{BC}=\frac{1}{2}QR.$
→Read the bar graph given in figure and answer the following questions:
$i.$ What information does it give?
$ii.$ In which part the expenditure on education is maximum in $1980?$
$iii.$ In which part the expenditure has gone up from $1980$ to $1990?$
$iv.$ In which part the gap between $1980$ and $1990$ is maximum?
→$i.$ What information does it give?
$ii.$ In which part the expenditure on education is maximum in $1980?$
$iii.$ In which part the expenditure has gone up from $1980$ to $1990?$
$iv.$ In which part the gap between $1980$ and $1990$ is maximum?
Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.
If a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are also equal.
If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to four right angles. 
Factorize the following expressions: $x^3 + 6x^2 + 12x + 16$
→O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that $\angle\text{BOD}=\angle\text{A}.$
→→
A field in the form of a parallelogram has sides $60\ m$ and $40\ m$ and one of its diagonals is $80\ m$ long. Find the area of the parallelogram.
→The production of oil (in lakh tonnes) in some of the refineries in India during $1982$ was given below:
Construct a bar graph to represent the above data so that the bars are drawn horizontally.
→|
Refinery
|
Barauni
|
Koyali
|
Mathura
|
Mumbai
|
Florida
|
|
Production of oil (in lakh tonnes)
|
$30$
|
$70$
|
$40$
|
$45$
|
$25$
|