Circles and its Related Terms

What is meant by concentric circle?

Priyanka finds this piece of a circular disc in her grandma’s trunk.

She wants to find the diameter of the disc.

What could Priyanka do to find the diameter of the disk?

Determine whether the given line intersects the given circle at two distinct points, touch the circle or does not intersect the circle at any point:

$L=x+3y=2 ; C=x^2+y^2-12x+15=0$

Line $y=3x+1$ intersects the circle $x^2+y^2+3x+4y–18=0.$

Determine whether the given line intersects the given circle at two distinct points, touch the circle or does not intersect the circle at any point:

$L=3x+4y=10 ; C=x^2+y^2=9$

Determine whether the given line intersects the given circle at two distinct points, touch the circle or does not intersect the circle at any point:

$L=2x+4y=12 ; C=x^2+y^2=7$ 

Two circles of same radius $13$ cm intersect each other at $A$ and $B$. If $AB=10$ cm, then the distance between their centre is:

Two concentric circles form a ring. The inner and outer circumferences of the ring are $22$ cm and $44$ cm respectively The width of the ring is: (take $\mathrm{\pi }=22/7$)

Circles concentric to each other have different centres.

Draw two concentric circles of radius $3 \mathrm{cm}$ and $5 \mathrm{cm}$. Construct a tangent to smaller circle from a point on the larger circle.

Two circles or more circles are called _____ circles if and only if they have same centre and different radii.

Prove that the equal chords of congruent circles subtend equal angles at their centres.

Concentric circles can have different centres.

In the given figure, identify the non concentric circles.

The difference between the circumferences of two concentric circles is $132 \mathrm{cm}$ and the radius of smaller circle is $14 \mathrm{cm}.$ Find the radius of larger circle. [Take $\mathrm{\pi }=\frac{22}{7}$]

The diameter of two concentric circles is $10 \mathrm{cm}$ and $18 \mathrm{cm}$, respectively. Determine the area of enclosed between the two concentric circles.

Two concentric circles are of radii $17 \mathrm{cm}$ and $8 \mathrm{cm}$. Find the length of the chord of the larger circle which touches the smaller circle.

Two concentric circle of radius 3 cm and 4 cm, intersect in