Question 1 :
The length of the diameter of a circle is how many times the radius of the circle?
Question 3 :
If a diameter is drawn it divides the circle into____equal parts.
Question 5 :
A line drawn from the center of a circle to a chord always bisects it.
Question 6 :
The _________ of a circle is the distance from the centre to the circumference.
Question 7 :
In which circles, equal angles at the centers make a equal chords?<br/>
Question 10 :
<div><span>$\triangle ABC$ is inscribed in a circle. Point $P$ lies between $A$ and $C$, whereas point $Q$ lies between $B$ and $C$. If $m(\text{arc}\, APC) = 60^\circ$ and $\angle BAC = 80^\circ$, </span><span>find $m(\text{arc}\, BQC)$.</span></div>
Question 12 :
<div><span>The ratio between the diameters of two circles is $ 3: 5$, then find the ratio their </span><span>radii.</span></div>
Question 14 :
Radius of a circle is $2.018 cm$, then its diameter is:
Question 15 :
What is the radius of the circle with the given diameter $42$ cm?
Question 17 :
If the radius of a circle is $4\ cm$, then the length of its diameter is:
Question 18 :
If the diameter of a circle decreases to its $\dfrac{1}{4}$th, then its radius decreases to:
Question 21 :
If the radius of a circle is increased by $3$ times then the diameter increases by ____times.
Question 22 :
<div><span>Line segment joining the centre to any point on the circle is a radius of the circle .</span><br/></div>
Question 24 :
If the number of units in the circumference of a circle is same as the number of units in the area, then the radius of the circle will be:<br/>
Question 25 :
What are the coordinates of the center of this circle $\displaystyle x^{2}+\left ( y+7 \right )^{2}=11$?<br/>
Question 26 :
<span>The ratio between the diameters of two circles is $3 : 5,$ then find the ratio between their circumference.</span><br/>
Question 28 :
The relation between radius and diameter of a circle is _________.
Question 29 :
Line segment joining the centre to any point on the circle is a radius of the circle.
Question 30 :
$ABCD$ is a cyclic quadrilateral. If $\angle  A-\angle C=30^{\circ}$, then $ \angle  C =$?
Question 31 :
<span>The circumference of a circle is equal to $72\pi$. Find the radius of this circle.</span>
Question 32 :
What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii $12m, 9m$ and $8m$ respectively?
Question 33 :
Diameter of a circle is $7.12$ cm, then the radius is:
Question 34 :
The length of the biggest chord is 8 cm. Then  the value of radius is:
Question 35 :
The angle made by the line from the centre with the chord which it bisects is:
Question 36 :
Four alternative answers for the following question is given. Choose the correct alternative.<br/>In a cyclic quadrilateral $ \,ABCD$, twice the measure of $\angle A$ is thrice the measure of $\angle C$. Find the measure of $\angle C$?
Question 37 :
$BD$ is a chord parallel to the diameter $AC$ of a circle. A point $B$ is on the perimeter of the circle such that angle $CBE={ 63 }^{ o }$. The angle $DCE$ is equal to:
Question 38 :
For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .
Question 39 :
The abscissacs of two points A and B are the roots of the equation ${ x }^{ 2 }+2ax-{ b }^{ 2 }=0$ and their ordinate are the roots of the equation ${ x }^{ 2 }+2px-q^{ 2 }=0$. The radius of the circle with AB as diameter is
Question 40 :
If a circle $C$ passing through $(4,0)$ touches the circle ${ x }^{ 2 }+{ y }^{ 2 }+4x-6y-12=0$ externally at a point $\left( 1,-1 \right) $ then the radius of the circle $C$ is:
Question 41 :
The sum of the areas of two circle $A$ and $B$ is equal to the area of a third circle $C$, whose diameter is $30$ cm. If the diameter of circle $A$ is $18$ cm, then the radius of circle $B$ is:
Question 42 :
Find the smallest angle of a cyclic quadrilateral $ABCD$ in which $\angle A= (2x-10)^o, \, \, \angle B=(2y-20)^o, \, \, \angle C= (2y+30)^o$ and $\angle D=(3x+10)^o.$
Question 43 :
Consider a circle with center O and radius = 24cm. AB = 20cm and CD = 14cm are two chords of the circle. Which chord is farther away from the centre?
Question 44 :
Quadilateral ABCD is cyclic. If $ \angle B = 60^o$, then $\angle D = $____.
Question 45 :
Choose correct alternative answer and fill in the blank <br>The length of the longest chord of the circle with radius of the circle with radius $2.9 cm $ is...
Question 46 :
The number of straight lines joining 8 points on a circle is
Question 47 :
In a cyclic quadrilateral $ABDC,\,\angle CAB=80^{\circ}$ and $\angle ABC=40^{\circ}$. The measure of the $\angle ADB$ will be?
Question 48 :
In a cyclic quadrilateral $ ABCD$, twice the measure of $\angle A $ is thrice the measure of $\angle C$, find the measure of $\angle C$.
Question 49 :
If one angle of cyclic quadrilateral is $70^o$, then the angle opposite to it is:
Question 50 :
If the diameter of a circle is $7 cm$, then its radius is:<br/>
Question 51 :
If the different between the circumference and the radius of a circle is $17 cm$, then length of the radius is:
Question 53 :
The degree measure of the circumference of the circle is always
Question 54 :
The sum of the circumference and diameter of a circle is $116\:cm$. Find its radius.
Question 57 :
The perpendicular drawn from centre to the chord divides the chord in a ratio of _____
Question 59 :
If the circumference and area of the circle are numerically equal. Then the diameter is equal to: 
Question 60 :
The greatest angle of a cyclic quadrilateral $ABCD$ in which $\angle A = (2x-1)^o, \angle B = (y+5)^o, \angle C = (2y+15)^o$ and $\angle D = (4x-7)^o$ is:
Question 62 :
If $9.2$ cm is the diameter of the circle, then its radius is:
Question 63 :
If the area and the circumference of circle  are numerically equal, then the radius the circle is _______.
Question 64 :
If the radius of a circle is increased by $10 \%$, then the corresponding area of new circle will be _______.<br/>
Question 65 :
In a cyclic quadrilateral $ABCD$, $\angle A=5x, \angle C=4x$, the value of $x$ is:
Question 66 :
Distance between two parallel lines is $14$ cm. The radius of the circle which will touch the two lines is:
Question 67 :
The locus of the centers of all circles of given radius $r$, in the same plane, passing through a fixed point $P$, is called:
Question 68 :
$ ABCD$ is a cyclic quadrilateral, then the angles of the quadrilateral in the same order are:
Question 69 :
<table class="table table-bordered"><tbody><tr><td> Column $A$</td><td> Column $B$</td></tr><tr><td> The length of $OP$</td><td> The length of $PM$</td></tr></tbody></table>Find the relation between the above columns, given that point $O$ is the center of a circle, the point $P$ is inside the circle and point $M$ is outside the circle.
Question 70 :
If two chords of a circle are equidistant from the center of the circle then they are 
Question 72 :
Consider a chord $AB = 24cm$, of a circle with radius $r$. A line segment $OM = 5cm$ from the center O of the circle to AB, bisects AB into two equal parts.<br>Then what is the value of $r$?
Question 73 :
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 74 :
What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
Question 76 :
The radius of the circle having end diameter is $(2 , 7) $ and $(5 , 3)$