Question
A horse is placed for grazing inside a reangular field $70\ m$ by $2\ m.$ It is tethered to one comer by a rope $21\ m$ long. On how much area an it graze$?$ How much area is left ungrazed? $\Big[\text{Use }\pi=\frac{22}{7}\Big]$
✓
Answer
Area ehich the horse can graze $=$ Area of the quadrant of radius $21\ m$
$=\Big(\frac{1}{4}\times\frac{22}{7}\times21\times21\Big)\text{m}^2$
$=346.5\text{m}^2$
Area ungrazed $=[(70\times52)-346.5]\text{m}^2$
$=3293.5\text{m}^2$
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
$ABC$ is a triangle in which $\angle\text{A}=90^\circ,\ \text{AN}\perp\text{BC} BC = 12\ cm$ and $AC = 5\ cm.$ Find the ratio of the area of $\triangle\text{ANC}$ and $\triangle\text{ABC}.$
→If the mid-point of the segment joining $A(x, y + 1)$ and $B(x + 1, y + 2)$ is $\text{C}\Big(\frac{3}{2},\frac{5}{2}\Big),$ find $x, y.$
→Given the linear equation $2x + 3y - 8 = 0$, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
→- intersecting lines
- parallel lines
- coincident lines
Evaluate the following:
If A and B are acute angle such that $\tan\text{A}=\frac13,\tan\text{B}=\frac12$ and $\tan(\text{A}+\text{B})=\frac{\tan\text{A}+\tan\text{B}}{1-\tan\text{A}\tan\text{B}},$ show that $\text{A}+\text{B}=45^\circ.$
→If A and B are acute angle such that $\tan\text{A}=\frac13,\tan\text{B}=\frac12$ and $\tan(\text{A}+\text{B})=\frac{\tan\text{A}+\tan\text{B}}{1-\tan\text{A}\tan\text{B}},$ show that $\text{A}+\text{B}=45^\circ.$
If the volumes of two cones are in the ratio $1 : 4$ and their diameters are in the ratio $4 : 5,$ then write the ratio of their height.
→Find the sum of the following APs:
$0.6, 1.7, 2.8, ..... $ to $100$ terms.
→$0.6, 1.7, 2.8, ..... $ to $100$ terms.
A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is $24\ m$. The height of the cylindrical portion is $11\ m$ while the vertex of the cone is $16\ m$ above the ground. Find the area of canvas required for the tent.
→→
A solid is composed of a cylinder with hemispherical ends. If the length of the whole solid is $108\ cm$ and the diameter of the cylinder is $36\ cm,$ find the cost of polishing the surface at the rate of $7$ paise per $cm^2$. $ (\text{Use}\ \pi=3.1416)$
→Very-short and Short-Answer Questions.
Write the value of $\sin\theta\cos(90^\circ-\theta)+\cos\theta\sin(90^\circ-\theta).$
→Write the value of $\sin\theta\cos(90^\circ-\theta)+\cos\theta\sin(90^\circ-\theta).$