Question 1 :
Find the area of equilateral  triangle inscribed in a circle of unit radius.
Question 2 :
State true or false:<br/>Sector is the region between the chord and its corresponding arc.
Question 4 :
State true or false.Sector is the region between the chord and its corresponding arc.
Question 6 :
The area of a sector of a circle of radius 16 cm cut off by an arc which is 18.5 cm long is
Question 7 :
A horse is tied to a pole fixed at one corner of a $50 m \times 50 m$ square field of grass by means of a $20 m$ long rope. What is the area to the nearest whole number of that part of the field which the horse can graze?
Question 8 :
If radius of a circle is increased to twice its original length, how much will the area of the circle increase ?
Question 9 :
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 11 :
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 12 :
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 13 :
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 14 :
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 15 :
What is the circumference of a circle whose radius is 8 cm?
Question 16 :
The distance between the two parallel chords of length 8 cm and 6 cm in a circle of diameter 10 cm if the chords lic on the same side of the centre is
Question 17 :
Area of a sector having radius 12 cm and arc length 21 cm is
Question 18 :
Area of a circle with diameter 'm' radius 'n' and circumference 'p' is
Question 19 :
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 20 :
The angle of sector with area equal to one fifth of total area of whole circle 
Question 21 :
Which of the following is not a sector of a circle?<br/>
Question 22 :
The circumference of a circular field is $308 m$. Find its radius in metres.
Question 24 :
The area of a sector formed by two mutually perpendicular radii in $\odot \left( 0,5cm \right) $ is ............... ${cm}^{2}$.
Question 25 :
If the radius and arc length of a sector are 17 cm and 27 cm respectively, then the perimeter is
Question 26 :
If the circumference of a circle be 8.8 m then its radius is equal to -
Question 27 :
The diameter of a circle is $1$. Calculate the area of the circle.
Question 30 :
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 31 :
If the difference between the circumference and radius of a circle is 37 cm then its diameter is
Question 32 :
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 33 :
The diameter of a wheel of a cycle is 21 cm How far will it go in 28 complete revolutions?
Question 34 :
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 35 :
Choose the correct answer from the alternative given.<br/>A can go round a circular path $8$ times in $40$ minutes. If the diameter of the circle is increased to $10$ times the original diameter, the time required by A to go round the new path once travelling at the same speed as before is:
Question 36 :
What is the length of arc AB making angle of $126^0$ at center of radius $8$?
Question 37 :
The perimeter of a sector of a circle is 37cm. If its radius is 7cm, then its arc length is
Question 38 :
If a circle is divided into two equal parts, then equal part of the circle is called ________.
Question 39 :
The radius of a wheel is $0.25 m$. How many rounds will it take to complete the distance of $11 km$?
Question 40 :
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 42 :
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 43 :
The perimeter of a sector of a circle is $56$ cms and the area of the circle is $64\pi$ sq. cms  Find the area of sector.
Question 44 :
Size of a tile is $9$ inches by $9$ inches. The number of tiles needed to cover a floor of $12$ feet by $18$ feet is
Question 45 :
If the radius of a circle is tripled, the ares becomes.
Question 47 :
If one side of a square is 2.4 m. Then what will be the area of the circle inscribed in the square?
Question 48 :
The area of two circles are in the ratio $25 : 36$. Then the ratio of their circumference is _________.
Question 49 :
A rectangular sheet of acrylic is 50 cm by 25 cm . From it 60 circular buttons, each of diameter 2.8 cm have been cut out. The area of the remaining sheet is
Question 51 :
If the ratio of circumference of two circles is $4 : 9$, then what is the ratio of their areas is?
Question 52 :
The circumference of a circle is $31.4\ cm$ Find the radius and the area of the circle? (Take $\pi=3.14$)
Question 53 :
Is it true that the distance travelled by circular wheel of diameter d cm is one revolution is $2\pi d \,cm$ ? Why ?
Question 54 :
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 55 :
The radius of a circle is increased by 1 cmthen the ratio of the new circumference to the new diameter is
Question 56 :
The ratio of the circumference of a circle to twice the diameter of the circle is 
Question 57 :
A circular ground whose diameter is $140$meters is to be fenced by wire three times around its circumference. Find the length of wire needed.<br><br>$[$use $\displaystyle \pi = \frac {22}{7}$ <br> $]$
Question 58 :
What is the length of an arc of a circle with a radius of $5$ if it subtends an angle of ${60}^{o}$ at the center?
Question 59 :
A wire is bent to form a square of side $22\, cm$ If the wire is rebent to form a circle, its radius is.<br>
Question 60 :
The area of a sector of a circle of radius $16$ cm cut off by an arc which is $18.5$ cm long is 
Question 61 :
Which of the following shapes of equal perimeter the one having the largest areas is
Question 62 :
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 63 :
Let a semicircle with centre O and diameter AB. Let P and Q be points on the semicircle and R be a point on AB extended such that OA =QR < PR. If $\widehat{POA} = 102^0$ then $\widehat{PRA} $ is
Question 64 :
If the radius of a circle is doubled then its area is increased by
Question 66 :
If the diameter of a semicircular protractor is $14cm$ then find its perimeter.
Question 67 :
The area of a sector is $120\pi$ and the arc measure is $160^o$. What is the radius of the circle?<br>
Question 68 :
The length of minute hand of a clock is $14cm$. Find the area swept by the minute hand in one minute.<br/> [Use $\pi=\dfrac{22}{7}$]
Question 69 :
Assertion: If the circumference of a circle is $176$ cm, then its radius is $28$ cm.
Reason: Circumference $=2\pi \times radius$
Question 70 :
The area of a circle drawn with its diameter as the diagonal of a cube of side of length 1 cm each is :
Question 71 :
The radii of two circles are in the ratio $3 : 8$. If the difference between their areas is$2695\pi \: cm^{2}$ ,find the area of the smaller circle.
Question 72 :
When the circumference and area of a circle are numerically equal then the diameter is numerically equal to
Question 73 :
What is the area of a circle with a diameter of $16$?<br/>
Question 74 :
What is the radius of a circle whose circumference is $\pi$?
Question 75 :
A sector of $120^{\circ}$ cut out from a circle has an area of $9\displaystyle \frac{3}{7}$sq cm. The radius of the circle is
Question 76 :
A polygon has 44 diagonals, The number of its sides is
Question 77 :
If the diameter of a circle is $14$ cm, then its circumference is
Question 78 :
A pizza parlor cuts its $14$-inch (diameter) pizzas into $8$ equal slices. What is the size (in square inches) of each slice?
Question 79 :
Find the diameter of a wheel that makes $113$ revolutions to go $2 km 26dm$. $ \displaystyle \left ( \pi =\frac{22}{7} \right )$
Question 80 :
How long is the arc subtended by an angle of $\dfrac{2\pi}{3}$ radians on a circle of radius $12$ cm?<br/>
Question 81 :
If the difference between the circumference and diameter of a circle is $30\ cm$, then the radius of the circle must be:
Question 82 :
The area of a sector with  perimeter as  $45\ cm$ and radius as $6 \ cm$ is
Question 83 :
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 84 :
Two circles touch each other externally. The sum of their area is $58$ $\pi\, cm^{2}$ and the distance between their center is $10\ cm$. Find the radii of the two circles.
Question 85 :
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 86 :
The minute hand of a clock is $7\ cm$ long. Find the area traced by it on the clock face between $4{:}15$ p.m. and $4{:}35$ p.m.
Question 87 :
What is the area of a sector with an arc length of <font color="#888888">$120 cm $ and radius $4cm$</font>?<br/>
Question 88 :
A circular disc of radius 10 cm is divided into sectors with angles $120^{\circ}$ and $150^{\circ}$ then the ratio of the area of two sectors is<br>
Question 89 :
The circumference of a circular field is $308 m$, Find its Area.
Question 90 :
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 91 :
The area of a circle is 314 sq. cm and area of its minor sector is 31.4 sq. cm. Find thearea of its major sector.
Question 92 :
A running track is the ring formed by two concentric circles. It is $10\ m$ wide. The circumferences of the two circle differ by about.
Question 93 :
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 94 :
If the difference between the circumference and radius of a circle is 37 cm, then the area of the circle is
Question 95 :
The difference between circumference and radius of a circle is $37 $m. The circumference of that circle is 
Question 96 :
Write True or False:The tangent to the circumcircle of an isosceles $\triangle ABC$ at A, in which $AB = AC$, is parallel to BC.<br/>
Question 97 :
A sector is cut off from a circle of radius $21$ cm The angle of the sector is $\displaystyle 120^{\circ} $ The length of its arc is [Take $\displaystyle \pi =\frac{22}{7} $]
Question 98 :
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 99 : <p>If the circumference of a circle is $8$ units and arc length of major sector is $5$ units then find the length of minor sector.</p>
Question 100 :
The area of a circle is 616 cm$^2$. Find its circumference.
Question 101 :
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 102 :
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?
Question 103 :
If a bicycle wheel makes $5000$ revolution in moving $11$ km, then diameter of wheel is
Question 104 :
The perimeter of a quadrant of a circle of radius $\dfrac{7}{2}$ cm is:<br/>
Question 105 :
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 106 :
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>
