Question 1 :
A square is inscribed in a circle of radius $7\: cm$. Find area of the square.
Question 2 :
The radius of a circle whose area is equal to the sum of the areas of two circles where radii are 5 cm and 12 cm is
Question 3 :
In a circle with radius $5.7\ cm$, the perimeter of a sector is $27.2\ cm$. Find the area of this sector.
Question 4 :
The sum of the circumference and diameter of a circle is $116 cm$. Find its radius.
Question 5 :
If the radius of a circle is $\dfrac{7}{\sqrt{\pi}}$, what is the area of the circle (in $cm^2$)?
Question 7 :
$r$ is the radius and $l$  is the length of an arc. The area of a sector is ______.
Question 8 :
Lengthof an arc of a circle with radius $r$ and central angle $\theta$is(angle in radians):
Question 9 :
The diameter of a circle is divided into n equal parts.On each part a semicircle is constructed. as n becomes very large, the sum of the lengths of the arcs of the semicircles approaches a length:
Question 10 :
A cord in the form of square encloses the area 'S'$ \displaystyle cm^{2} $ If the same cord is bent into the form of a circle then the area of the circle is
Question 11 :
If the radius of a circle increased by 20% then the corresponding increase in the area of circle is ................
Question 12 :
The number of circular pipes with an inside diameter of $1$ cm which will carry the same amount of water as a pipe with an inside diameter of $6$ cm is:
Question 13 :
State true or false.Sector is the region between the chord and its corresponding arc.
Question 14 :
Say true or false:A sector is a region between the chord and its corresponding arc.
Question 15 :
What is the area of the sector of a circle, whose radius is $6\ m$ when the angle at the centre is $42^{\circ}$?
Question 16 :
If one side of a square is 2.4 m. Then what will be the area of the circle inscribed in the square?
Question 17 :
If 'c' be the circumference and 'd' be the diameter then the value of$ \displaystyle \pi $ is equal to-<br>
Question 18 :
The diameter of a wheel of a cycle is 21 cm How far will it go in 28 complete revolutions?
Question 20 :
If the circumference of a circle is reduced by 50 % then the area will be reduced by
Question 22 :
What is the length of arc AB making angle of $126^0$ at center of radius $8$?
Question 23 :
If an arc of a circle subtends an angle of<b></b>$ \displaystyle x^{\circ} $ at the centre then the length of the arc will be equal to - (Given radius of the circle=r)
Question 24 :
If radius of a circle is increased to twice its original length, how much will the area of the circle increase ?
Question 25 :
If the area of a circle is $346.5 \displaystyle cm^{2}$. Its circumference is
Question 26 :
The area of two circles are in the ratio $25 : 36$. Then the ratio of their circumference is _________.
Question 27 :
If the area and arc length of the sector of a circle are 60 $cm^2$ and 20 cm respectively, then the diameter of the circle is
Question 28 :
Cirumference of a circle is S cm, and its area is A sq cm. which one of the following relations is true?
Question 29 :
The length of a minute hand of a wall clock is $8.4\ cm$. Find the area swept by it in half an hour.
Question 30 :
Given, $\displaystyle A = \frac{S}{360}\times \pi r^2$<br/>$A$ is the area of setor, $ S$ is the angle measure in degrees of the sector and $r$ is the radius of the circle. Find $r$ in terms of $A$ and $S$.
Question 31 :
Circular dome is a 3D example of which kind of sector of the circle?
Question 32 :
If the circumference of a circle be 8.8 m then its radius is equal to -
Question 33 :
If the area of the circle be $ \displaystyle 154 cm^{2},$ then its radius is equal to:
Question 34 :
If the number of units in the circumference of a circle is same is same as the number of units in the area then the radius of the circle will be
Question 35 :
The ratio of areas of square and circle is givenn : 1 where n is a natural number. If the ratio of side of square and radius of circle is k :1, where k is a natural number, then n will be multiple of
Question 36 :
A circular disc of radius 10 cm is divided into sectors with angles $ \displaystyle 120^{\circ}   $ and  $ \displaystyle 150^{\circ}   $ then  the ratio of the areas of two sectors is
Question 37 :
The radius of a circular wheel is $1.75\ m$. The number of revolutions that it will make in covering $11\ kms$ is:
Question 38 :
The angle of sector with area equal to one fifth of total area of whole circle 
Question 40 :
A cow is tied to a pole, fixed to the midpoint of a side of a square field of dimensions $40\ m\times 40\ m$, by means of $14\ m$ long rope. Find the area that the cow can graze.
Question 41 :
A circular disc of radius $10 cm$ is divided into sectors with angles $120^o$ and $150^o$, then the ratio of the area of two sectors is
Question 42 :
If the radius and arc length of a sector are 17 cm and 27 cm respectively, then the perimeter is
Question 43 :
A sector of a circle with sectorial angle of$\displaystyle 36^{\circ} $ has an area of 15.4 sq cm The length of the arc of the sector is
Question 44 :
The area of a sector formed by two mutually perpendicular radii in $\odot \left( 0,5cm \right) $ is ............... ${cm}^{2}$.
Question 45 :
The perimeter of a sector of a circle is 37cm. If its radius is 7cm, then its arc length is
Question 46 :
The minute hand of a clock is $\displaystyle \sqrt{21}$ cm long. The area described by the minute hand on the face of the clock between $7$ am and $7.05$ am is
Question 47 :
The radius of a wheel is $0.25 m$. How many rounds will it take to complete the distance of $11 km$?
Question 48 :
A rope by which a cow is tethered is in reased from 16m to 23m. How much additional ground does it have to graze now?
Question 49 :
What is the minimum radius $(>1)$ of a circle whose circumference is an integer?
Question 51 :
The length of the minute hand of a clock is $14cm$. If minute hand moves from $1$ to $10$ on the dial, then an area of ................... ${cm}^{2}$ will be covered.
Question 52 :
If the circumference of a circle is reduced by $50\%$ the area of the circle is reduced by:
Question 53 :
If radius of circle is decreased by 10% then there is ................ decrease in its area.
Question 54 :
In $\bigodot (P, 6)$, the length of an arc is $\pi$. Then the arc subtends an angle of measure ___at the center.
Question 55 :
Find the area of a sector of a circle with radius $6$cm if angle of the sector is $60^o$.
Question 56 :
The sides of a triangle are $5$, $12$ and$ 13$ units. A rectangle of width $10$ units is constructed equal in area to the area of the triangle. Then the perimeter of the rectangle is 
Question 57 :
The perimeter and area of a sector are $18\;cm$ and $20\;sq.\,cm$ respectively. Then the length of the arc is:
Question 58 :
The diameter of a wheel that makes 113 revolutions to go 2 Km 26 decametres is$\displaystyle \left ( \pi =\frac{22}{7} \right )$
Question 59 :
If a sector of a circle of diameter 21 cm subtends an angle of $120^{\circ}$ at the centre, then what is its area ? 
Question 60 :
If the radius of a circle is doubled then its area is increased by
Question 61 :
Find the area of a sector in radians whose central angle is $45^o$ and radius is $2$.<br/>
Question 62 :
The radius of a circle is $3.5$ cm and area of the sector is $3.85$ $cm^2$. Find the length of the corresponding arc.
Question 63 :
If the area of a sector of a circle is $\dfrac{5}{18}$th of the area of that circle, then the central angle of the sector is 100. Is it true or false?
Question 64 :
A circular wire of radius $7$ cm is cut and bend again into an arc of a circle of radius $12$ cm. The angle subtended by the arc at the centre is<br/>
Question 65 :
Tick the correct answer in the following:<br/>Area of a sector of angle $\theta$ (in degrees) of a circle with radius R is
Question 66 :
Let a and b be two positive real numbers such that a $a + 2b \leq 1$. Let $A_{1} \space and \space A_{2}$ be, respectively. the areas of circles with radii $ab^{3} \space and \space b^{2}$. Then the maximum possible value of $\dfrac{A_{1}}{A_{2}}$ is
Question 67 :
If the circumference of a circle is$\displaystyle \frac{30}{\pi }$ then the diameter of the circle is
Question 68 :
If the perimeter of a circle is $P$ cm then find the length of an arc of the circle which subtends $\displaystyle 144^{\circ}$ at the centre of the circle (in cm).<br/>
Question 69 :
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is $42 cm$ and each wheel makes $1200$ revolutions per minute, find the speed of the train.
Question 70 :
If the ratio of circumference of two circles is $4 : 9$, then what is the ratio of their areas is?
Question 71 :
If angle of sector is $x^o$, then formula used to calculate area is<br/>
Question 73 :
The radius of a circle is increased by 1 cmthen the ratio of the new circumference to the new diameter is
Question 74 :
If the circumference and the area of a circle are numerically equal, then what its the numerical value of the diameter?<br/>
Question 75 :
If the radii of two circles re $7\,cm$ and $24\,cm$, then the radius of the circle having area equal to the sum of the areas of the two circles, is
Question 76 :
The area of a circle is$\displaystyle 2464\:m^{2}$, then the diameter is
Question 77 :
The area of a sector with  perimeter as  $45\ cm$ and radius as $6 \ cm$ is
Question 78 :
A rope is made round to cover an area of 154 cm then the length of the rope is <br>
Question 79 :
The area of the sector of a circle, whose radius is $6$ m when the angle at the centre is $42^0$, is
Question 80 :
What is the area of the circle whose equation is $(x - 3)^{2} + (y + 5)^{2} = 18$?
Question 81 :
The crescent shaded in the diagram, is like that found on many flags. $PSR$ is an arc of a circle, centre $O$ and radius $24.0$ cm. Angle POR $=$ $48.2^{\circ}$.<br/>$PQR$ is a semicircle on $PR$ as diameter, where $PR$ $=$ $19.6$ cm<br/>$[\pi = 3.14] [\cos 24.1 = 0.91]$The area of the crescent is<br/>
Question 82 :
A wire in the shape of an  equilateral triangle encloses  an area of $s$ $cm^2$. If the same  wire is bent to form a circle,  then the area of the circle will  be<br/>
Question 84 :
The diameter of a circle is $10$ cm, then find the length of the arc, when the corresponding central angle is $144^{\circ}$.$(\pi =3.14)$
Question 85 :
The minute hand of a clock is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$A.M and $9.35$A.M.
Question 86 :
The radius of a circle is $7 cm$, then area of the sector of this circle if the corresponding angle is:$210^{\circ}$ is <br/><br/>
Question 87 :
If the difference between the circumference and radius of a circle is $37$ cm, then the area of the circle is<br/>
Question 88 :
The cost of fencing a circular field at the rate of $Rs\:.240\: per\: metre$ is $Rs. \: 52,800$ . The field is to be ploughed at the rate of $Rs. 12.50 \: per \: m^{2}$. Find the cost of ploughing the field.
Question 89 :
A chord of a circle of radius 6 cm subtends an angle of $\displaystyle 60^{\circ}$ at the centre of the circle. The area of the minor segment is<br/>(use $\displaystyle \pi =3.14$)
Question 90 :
The area of a circle is 616 cm$^2$. Find its circumference.
Question 91 :
The area of a circular plot is $3850$ square meters. What is the circumference of the plot ?
Question 92 :
The circumference of a circle exceeds its diameter by $15 cm$ then, the circumference of the circle is
Question 93 :
Points $A$ and $B$ lie on circle $O$ (not shown). $AO=3$ and $\angle AOB ={120}^{o}$. Find the area of minor sector $AOB$.
Question 94 :
The area of the part of the square filed in which a horse tied to a fixed pole at one comer by means of a $10\ m$ rope, can graze is 
Question 95 :
The minute hand of a clock is 7 cm long Find the area traced out by the minute hand of the clock between 6 pm to 6:30 pm<br>
Question 96 :
The radius of a circle is $14$ m, then the circumference of a circle is 
Question 97 :
The area of a circle drawn with its diameter as the diagonal of a cube of side of length 1 cm each is :
Question 98 :
State whether True or FalseThe diameter of a circle is $10 cm$. Find the length of the arc, when the corresponding central angle is as given below.  $(\pi =3.14)$<br/>$270^{\circ}$ is 12.56cm<br/>
Question 99 :
If the difference between the circumference and diameter of a circle is $30\ cm$, then the radius of the circle must be:
Question 100 :
The ratio of the circumference of a circle to twice the diameter of the circle is 
Question 101 :
The area of a sector of a circle of angle $\displaystyle 60^{\circ}$ is $\displaystyle \frac{66}{7}cm^{2}$ then the area of the corresponding major sector is<br>
Question 102 :
The ratio of the slant height of two right cones of equal base is 3 : 2 then the ratio of their volumes is <br>
Question 103 :
A wire bent in the form a square incloses an area of 484 $\displaystyle m^{2}$ but if the same wire is bent in the form of a circle the area enclosed will be <br>
Question 104 :
If a bicycle wheel makes $5000$ revolution in moving $11$ km, then diameter of wheel is
Question 105 :
The perimeter of a quadrant of a circle of radius $\dfrac{7}{2}$ cm is:<br/>
Question 106 :
A sphere with diameter $50$ cm intersects a plane $14$ cm from the center of the sphere. What is the number of square centimeters in the area of the circle formed?
