Question 2 :
The four walls and ceiling of a room are to be repaired. The length and breadth of the room are $8\;m\;and\;4\;m$ and its height $3\;m$. Find the cost of repair at $Rs.\;30$ per $m^2$.
Question 3 :
The length and breadth of a rectangular plot are $900 m$ and $700 m$ respectively. <span>If three rounds of fence is fixed around the field at the cost of $Rs$. $8$ per meter, the total amount spent is ?</span>
Question 4 :
The area of rectangular field is 150 sq. units If its perimeter is 50 units then its dimensions are
Question 6 :
The difference of the areas oftwo squares drawn on two line segments of different lengths is $32$ sq. cm. Find the length of the greater line segment if one is longer than the other by $2\ cm.$
Question 7 :
The sides of a triangle are in the ratio $3:4:5$. If its perimeter is $36\ cm$, area of the triangle is:
Question 8 :
The ratio of the length and breadth of a rectangle is $4:2$. The area of the rectangle is $288{cm}^{2}$. The perimeter of the rectangle will be-
Question 9 :
If the perimeter and area of a circle are numerically equal then the radius of the circle is
Question 10 :
What happen to the area of the square when its side is halved? Its area will
Question 11 : <div><span>State true or false.</span><br/></div>The area enclosed by a chord and the minor arc is minor segment.
Question 12 : <div><span>Give possible expressions for the length and breadth of the following rectangle, in its area is given:</span><br/></div>$Area: 25a^2-25a+12$<br/>
Question 13 :
The length of a rope by which cow must be tethered in order that it may be able to graze an area of $9856$ sq. metres is:<br/>
Question 14 :
A man purchased a plot which is in the shape of a square The area of the plot is$ 12$ hectares and $3201 m^{2}$ Find the length of each side of the plot (in cm).
Question 15 :
The area of a rectangle is $650\ cm^2$ and its breadth is $13\ cm$. The perimeter of the rectangle is
Question 16 :
If the perimeter of a rectangular field is 200 m add its breadth is 40 m then its area is (in $m^2$):
Question 17 :
A race track is in the form of a ring whose inner circumference is 440 m & outer circumference is 506 m The width of the track is <br>
Question 18 :
If the ratio between the length and perimeter of a rectangular is $1:3$, then the ratio between the length and breadth of the plot
Question 19 :
<span>The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:</span>
Question 20 :
The length of a rectangle is $\left( \cfrac { 6 }{ 5 } \right) $th of its breadth. It its perimeter is $132m$, its area will be ______ .
Question 21 :
A circle of radius x has an area twice that of a square of side a. The equation used to find the radius of the circle is
Question 22 :
The diameters of two wheels are $10$ in. and $14$ in. The smaller makes $50$ more revolutions than the larger in going a certain distance. This distance, in inches, is
Question 23 :
Each side of a square is 5 cm. The perimeter of the equilateral triangle formed on the diagonal of the square would be-
Question 24 :
An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is $12 dm^2$ then the difference of their areas (in $dm^2$ ) is :
Question 25 :
A circle is inscribed in a square and then a smaller square is inscribed in the circle. The ratio of the area of the smaller square to that of the larger square is
Question 26 :
In a circle with centre O, $OD\bot$ chord AB. If BC is the diameter, then
Question 29 :
The ratio between the areas of two circles is $16:9$. Find the ratio between their radii:
Question 30 :
The circumferences of two circles are in the ratio $5:7$, find the ratio between their radii.
Question 32 : <div><span>The circumference of a circular field is $528\ m$. Then</span><span> its radius is</span></div>
Question 33 :
The perimeter of a quadrant of a circle of radius $r$ is:<br/>
Question 34 :
Number of arcs made by a chord on a circle is:
Question 35 :
Line segment joining the centre to any point on the circle is a radius of the circle.
Question 36 :
If one of the diameters of the circle $x ^ { 2 } + y ^ { 2 } - 2 x - 6 y + 6 = 0$ is a chord to the circle with centre $( 2,1 )$ , then the radius of the circle is .
Question 37 :
Read the statements given and identify the correct option.<br>(i) Every diameter of a circle is also a chord.<br>(ii) Every chord of a circle is also a diameter.<br>(iii) The centre of a circle is always in its interior.<br>
Question 38 : Consider<span><br/>${L}_{1}:2{x}+3{y}+{p}-3=0$<span><br/>${L}_{2}:2{x}+3{y}+{p}+3=0$,<br/><span>where ${p}$ is a real number, and </span></span></span><div><span><span><span>${C}:{x}^{2}+{y}^{2}+6{x}-10{y}+30=0$.<br/><br/><span>STATEMENT 1 : If line $L_{1}$ is a chord of circle $C$, then line $L_{2}$ is not always a diameter of circle $C$.<br/>STATEMENT 2 : If line $L_{1}$ is a diameter of circle $C$, then line $L_{2}$ is not a chord of circle $C$.<br/></span></span></span></span></div>
Question 39 :
Each of the height and radius of the base of a right circular cone is increased by $100$%. The volume of the cone will be increased by
Question 40 :
Find the radius of the circle which passes through the origin, $(0, 4)$ and $(4, 0)$.
