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
In the given figure, L and M are the mid-points of AB and BC respectively. 
→
- If AB = BC, prove that AL = MC.
- If BL = BM, prove that AB = BC.
- $\text{AB}=\text{BC}\Rightarrow\frac{1}{2}\text{AB}=\frac{1}{2}\text{BC}\Rightarrow\text{AL}=\text{MC}.$
- $\text{BL}=\text{BM}\Rightarrow2\text{BL}=2\text{BM}\Rightarrow\text{AB}=\text{BC}.$
In the given figure, ABCD and AEFG are two parallelograms. If $\angle\text{C}= 58^\circ,$ find $\angle\text{F}.$
→The following cumulative frequency distribution table shows the daily electricity consumption (in KW) of 40 factories in an industrial state.
|
Consumption (in KW)
|
No. of factories
|
|
Below 240
|
1
|
|
Below 270
|
4
|
|
Below 300
|
8
|
|
Below 330
|
24
|
|
Below 360
|
33
|
|
Below 390
|
38
|
|
Below 420
|
40
|
- Represent this as a frequency distribution table.
- Prepare a cumulative frequency table.
The bisectors of $\angle\text{B}$ and $\angle\text{C}$ of an isosceles $\triangle\text{ABC}$ with AB = AC intersect each other at a point O.Show that the exterior angle adjacent to $\angle\text{ABC}$ is equal to $\angle\text{BOC}.$
→The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:
Represent the above data with the help of a bar graph.
| Year | 1960-61 | 1970-71 | 1980-81 | 1990-91 | 2000-2001 |
| Route lenght (in thousand Km) | 56 | 60 | 61 | 74 | 98 |
Plot the following points on the graph paper:(7, 0)
In the given figure, ABCD is a quadrilateral inscribed in a circle with centre O. CD is produced to E such that $\angle\text{AED} = 95^\circ$ and $\angle\text{OBA} = 30^\circ$ Find $\angle\text{OAC.}$
→In the given figure, O is the centre of the circle. If $\angle\text{ABD}=35^\circ$ and $\angle\text{BAC}=70^\circ,$find $\angle\text{ACB}.$
→Find the values of n and $\overline{\text{X}}$ in the following case:$\sum\limits^\text{n}_{\text{i}=1}(\text{x}_\text{i}-12)=-10$ and $\sum\limits^\text{n}_{\text{i}=1}(\text{x}_\text{i}-3)=62$
→In a $\triangle\text{ABC, D}$ is the midpoint of side AC such that $\text{BD}=\frac{1}{2}\text{AC}.$ Show that $\angle\text{ABC}$ is a right angle.
→