Question 1 :
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 2 :
What is the minimum radius $(>1)$ of a circle whose circumference is an integer?
Question 3 :
If the radius of a circle increased by 20% then the corresponding increase in the area of circle is ................
Question 4 :
What is the circumference of a circle whose radius is 8 cm?
Question 5 :
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 6 :
If the circumference of a circle is reduced by 50 % then the area will be reduced by
Question 7 :
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 8 :
If the radius of a circle be r cm then its area will be equal to-
Question 9 :
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 10 :
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 11 :
The length of minor arc $\widehat {AB}$ of a circle with radius $7$ units  is $14$. Find the length of major arc $\widehat {AB}$.
Question 12 :
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 13 :
The radius of a wheel is $0.25 m$. How many rounds will it take to complete the distance of $11 km$?
Question 14 :
The circumference of a circular field is $528\ m$. Then its area  is
Question 15 :
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 16 :
If the difference between the circumference and radius of a circle is 37 cm then its diameter is
Question 17 :
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 18 :
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 19 :
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 20 :
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: