Question 1 :
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 2 :
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 3 :
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 4 :
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 5 :
The angle of sector with area equal to one fifth of total area of whole circle 
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 :
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 8 :
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 9 :
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 10 :
The circumference of a circular field is $308 m$. Find its radius in metres.
Question 11 :
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 12 :
If radius of a circle is increased to twice its original length, how much will the area of the circle increase ?
Question 13 :
The sum of the circumference and diameter of a circle is $116 cm$. Find its radius.
Question 15 :
The radius of a circular wheel is $1.75\ m$. The number of revolutions that it will make in covering $11\ kms$ is:
Question 16 :
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 17 :
A wire of length $36$ cm is bent in the form of a semicircle. What is the radius of the semicircle?
Question 18 :
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 19 :
If the circumference of a circle be 8.8 m then its radius is equal to -
Question 20 :
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 21 :
The region between an arc and two radii joining the centre to the end points of the arc is called
Question 22 :
Cirumference of a circle is S cm, and its area is A sq cm. which one of the following relations is true?
Question 23 :
The circumference of a circular field is $528\ m$. Then its area  is
Question 24 :
In a circle with radius $5.7\ cm$, the perimeter of a sector is $27.2\ cm$. Find the area of this sector.
Question 25 :
If a circle is divided into two equal parts, then equal part of the circle is called ________.
Question 26 :
A roller of diameter 70 cm and length 2m is rolling on the ground What is the area covered by the roller in 50 revolutions?
Question 27 :
What is the minimum radius $(>1)$ of a circle whose circumference is an integer?
Question 28 :
If the diameter of a circle is increased by 200% then its area is increased by<br>
Question 29 :
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 30 :
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 31 :
If the radius of a circle is $\dfrac{7}{\sqrt{\pi}}$, what is the area of the circle (in $cm^2$)?
Question 33 :
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 34 :
The diameter of a wheel of a cycle is 21 cm How far will it go in 28 complete revolutions?
Question 35 :
If the radius and arc length of a sector are 17 cm and 27 cm respectively, then the perimeter is
Question 36 :
A square is inscribed in a circle of radius $7\: cm$. Find area of the square.
Question 37 :
The area of two circles are in the ratio $25 : 36$. Then the ratio of their circumference is _________.
Question 38 :
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 39 :
In a circle of radius 21 cm an arc subtends an angle of $\displaystyle 56^{\circ} $ at the centre of the circle. The length of the arc is
Question 40 :
If the area of a circle is $346.5 \displaystyle cm^{2}$. Its circumference is
