Question 1 :
Rajat and Arif are jogging around a circular park. Arif jogs at half the speed of rajat and completes six rounds in 1 hour. If Rajat jogs 432 m in 12 minutes, then what is the perimeter of the park ?
Question 2 :
Two chords of lengths 16 cm and 17 cm are drawn perpendicular to each other in circle of radius 10 cm. The distance of their point of intersection from the centre is approximately
Question 3 :
There are two concentric circles. The radii of the two circles are $100\ m$ and $110\ m$ respectively. A wheel of radius $30\ cm$ rolls on the smaller circle and another wheel rolls on the larger circle. After they have completed one revolution, it is found that the two wheels rolled equal number of times on their respective axes. What is the radius of the other wheel?
Question 6 :
If the radius of a circle is increased by 3 times then the diameter increases by ____times
Question 7 :
If a diameter is drawn it divides the circle into____equal parts
Question 8 :
The measure of perpendicular distance between the biggest chord and the centre of a circle of radius $5$ is
Question 10 :
The length of the diameter of a circle is how many times the radius of the circle
Question 11 :
In a circle with centre O, $OD\bot$ chord AB. If BC is the diameter, then
Question 12 :
State whether the following statement are true $(T)$ or false $(F)$.<br/>Two diameters of a circle will necessarily intersect.
Question 13 :
Sate whether the following statements are true (T) or false (F):<br>A line segment with its end-points lying on a circle is called a diameter of the circle.
Question 14 :
A circle is inscribed in a triangle with sides $8,15 and 17$. The radius of the circle is.
Question 15 :
If the circumference of a circle is $264\ cm$, find its radius. Take $\pi = \dfrac {22}{7}$.
Question 16 :
Find the centre and radius of the circle<br/>$x^2+y^2-4x - 8y -45=0$.
Question 17 :
<span>The ratio between the diameters of two circles is $3 : 5,$ then find the ratio between their </span>circumferences.<br/>
Question 19 :
State whether the following statement are true $(T)$ or false $(F)$.<br/>Every diameter of a circle is also a chord.
Question 20 :
Sate whether the following statements are true (T) or false (F):<br>The end-point of a diameter of a circle divide the circle into two points, each part is called a semi-circle.
Question 22 :
The circumference of a circle is equal to the side of a square whose area measures 407044 sq. cms. What is the area of the circle ?<br>Is it possible to solve this question using digital root method?
Question 23 :
The number of integral values of $\lambda$ for which $x^{2} + y^{2} + \lambda x + (1 - \lambda)y + 5 = 0$ is the equation of a circle whose radius cannot exceed $5$, is
Question 24 :
If the perimeter of a semi-circular protractor is $66$cm. Find the diameter of the protractor.<div>(Take $\pi=\displaystyle\frac{22}{7}$). </div>
Question 25 :
<span>The circumference of a circular field is $308\:m$ . Find its </span>radius.
Question 26 :
<span>The circumference of a circle is equal to $72\pi$. Find the radius of this circle.</span>
Question 27 :
Write True or False: Give reasons for your answers.<br>A circle has only finite number of equal chords.
Question 28 :
If the circumference of a circle is $\displaystyle \frac {30}{\pi}$, then <span>the diameter of the circle is:</span>
Question 30 :
Let a circle passing through $(4, 0)$ touches the circle ${ x }^{ 2 }+{ y }^{ 2 }+4x-6y-12=0$, then radius of circle $C$ is
Question 31 :
The radius of the circle which touches $y-$axis at $(0,0)$ and passes through the point $(b,c)$ is
Question 32 :
A roller of diameter $70 cm$ and length $2 m$ is rolling on the ground. What is the area covered by the roller in $50$ revolutions ?
Question 33 :
If the line $3x-4y-8=0$ divides the circumference of the circle with centre $(2,-3)$ in the ratio $1:2$. Then, the radius of the circle is
Question 34 :
If (6, -3) is the one extremity of diameter to the circle ${ x }^{ 2 }+{ y }^{ 2 }-3x+8y-3=0$ then its other extermity is -
Question 35 :
What is the radius of the incircle of the right angled triangle whose sides measure $6, 8$ and $10$ units?<br/>