Question
Represent $\sqrt{7.28}$ geometrically on the number line.
✓
Answer
Draw a line segment AB = 7.28 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, $\text{BD}=\sqrt{7.28}\ \text{units}.$
With D as centre and BD as radius, draw an arc, meeting AC produced at E.
Then, $\text{BE}=\text{BD}=\sqrt{7.28}\ \text{units}.$
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
Thirty children were asked about the number of hours they watched TV programes in the previous week. The results were found as follows:
1, 6, 2, 3, 5, 12, 5, 8, 4, 8, 10, 3, 4, 12, 2, 8, 15, 1, 17, 6, 3, 2, 8, 5, 9, 6, 8, 7, 14, 2
- Make a frequency distribution table for this data, taking class width 5 and one of the class intervals as 5-10.
- How many children watched television for 15 or more hours a week.
Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Prove that PQ = 2OO′.
Given below is a cumulative frequency distribution table showing ages of the people living in a locality:
Prepare a frequency distribution table.
| Age in years | No. of years |
| Above 108 | 0 |
| Above 96 | 1 |
| Above 84 | 3 |
| Above 72 | 5 |
| Above 60 | 20 |
| Above 48 | 158 |
| Above 36 | 427 |
| Above 24 | 809 |
| Above 12 | 1026 |
| Above 0 | 1124 |
Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.
A cube of side 4cm contains a sphere touching its sides. Find the volume of the gap in between.
In the given figure, PQRS is a rhombus in which the diagonal PR is produced to T. If $\angle\text{SRT}=152^\circ, $ find x, y and z.
→If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.
Using factor theorem, factorize the following polynomials:
x3 - 2x2 - x + 2
x3 - 2x2 - x + 2
In the given figure, if $\text{AB }||\text{ DE}$ and $\text{BD }||\text{ FG}$ such that $\angle\text{FGH}=125^\circ$ and $\angle\text{B}=55^\circ,$ find x and y.
→Find the area of the of the blades of the magnetic compass shown in Fig. below
$\big($ Take $\sqrt{11}=3.32\big).$
→$\big($ Take $\sqrt{11}=3.32\big).$