Constructions of Circles and Concentric Circles
Constructions of Circles and Concentric Circles: Overview
This Topic covers sub-topics such as Circle, Chord of a Circle, Radius of a Circle, Concentric Circles, Diameter of a Circle, Center of a Circle, Circular Ring, Interior Region of a Circle, Points Lying on a Circle and, Construction of Circles with Compass
Important Questions on Constructions of Circles and Concentric Circles
Name all the points that are lying on the circle given below.

Construct concentric circles of radii and .

Construct concentric circles of radii and .

Construct a circular ring between two circles of radii and .

Construct a circular ring between two circles of radii and .

The following circles are concentric circles.

The following circles are concentric circles.

In the adjoining figure, is the centre of the circle. The tangent to the circle of radius from a point outside the circle is of length . If the distance of the point from the farthest point of the circumference is , then find the value of .

With a given center and a given radius, only one circle can be drawn.

A circle can have only one diameter.

Draw a circle with radius .

Concentric circles can have different centres.

In the figure below, the larger circle has identical smaller circles inside it, touching each other. is the centre of the larger circle as well as the smaller circle in the middle.
What is the ratio of the radii of the larger circle to the smaller circle?

In the given diagram,
∠BAO = _____ degrees.

Perimeter of a square inscribed within a circle of radius 10 cm is _____ cm.
(Note: Round your answer to the nearest whole number)

Which of the following quadrilateral can be formed by joining the end points of two diameters of a circle?

In the figure below, chords AB, BC, CE and EF are equal. GF is the diameter of the circle.
∠AOB = 72 degrees.
The measure of ∠GOB = _____ degrees.

Shown below are two identical circles passing through the centre of the other circle and intersecting at points P and Q. The radii of both circles is 10 cm.
The length of PQ = _____ cm.
(Note: Round your answer to the nearest whole number.)

In the given diagram, CD measures _____ cm.

In the given circle, if C is the centre and points A, B and E lie on the circle, the length of DE = _____ cm.
(Note: Image is not to scale)
