Question
Represent geometrically the following numbers on the number line:
$\sqrt{8.1}$
$\sqrt{8.1}$
✓
Answer
Firstly, we draw a line segment AB = 8.1 units and extend it toC such that SC = 1 unit. Let O be the mid-point of AC.
Now, draw a semi-circle with centre 0 and radius OA.
Let us draw BD perpendicular to AC passing through point 6 intersecting the semi-circle at point D.
Hence, the distance BD is $\sqrt{8.1}\text{ units}.$
Draw an arc with centre Sand radius BD, meeting AC produced at E, then BE = BD = $\sqrt{8.1}\text{ units}.$
Now, draw a semi-circle with centre 0 and radius OA.
Let us draw BD perpendicular to AC passing through point 6 intersecting the semi-circle at point D.
Hence, the distance BD is $\sqrt{8.1}\text{ units}.$
Draw an arc with centre Sand radius BD, meeting AC produced at E, then BE = BD = $\sqrt{8.1}\text{ units}.$
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
The bisectors of $\angle\text{B}$ and $\angle\text{C}$ of an isosceles triangle with AB = AC intersect each other at a point O. BO is produced to meet AC at a point M. Prove that $\angle\text{MOC}=\angle\text{ABC}.$
→Evaluate:
$\Big(\frac{64}{125}\Big)^{-\frac{2}{3}}+\Big(\frac{256}{625}\Big)^{-\frac{1}{4}}+\Big(\frac{3}{7}\Big)^0$
→$\Big(\frac{64}{125}\Big)^{-\frac{2}{3}}+\Big(\frac{256}{625}\Big)^{-\frac{1}{4}}+\Big(\frac{3}{7}\Big)^0$
A conical tent is 10 m high and the radius of its base is 24 m. Find
- Slant height of the tent.
- Cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs. 70.
A triangular park ABC has sides 120 m, 80 m and 50 m. (in a given figure). A gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of ₹ 20 per metre leaving a space 3m wide for a gate on one side.
Evaluate:
$\Big[5\Big(8^{\frac{1}{3}}+27^{\frac{1}{3}}\Big)^3\Big]^{\frac{1}{4}}$
→$\Big[5\Big(8^{\frac{1}{3}}+27^{\frac{1}{3}}\Big)^3\Big]^{\frac{1}{4}}$
Locate $\sqrt{2}$ on the number line.
→Draw the graph of the following equation.
x = -2
x = -2
D is any point on side AC of a $\triangle\text{ABC}$ with AB = AC. Show that CD > BD.
→In the adjoining figure, ABCD is a quadrilateral. A line through D, parallel to AC, meets BC produced in P.
Prove that $\text{ar}(\triangle\text{ABP})=\text{ar}(\text{quadrilateral ABCD}).$
→Prove that $\text{ar}(\triangle\text{ABP})=\text{ar}(\text{quadrilateral ABCD}).$
A field is in the form of a rectangular length 18m and width 15m. A pit 7.5m long, 6m broad and 0.8m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.