Constructions of Circles and Concentric Circles

IMPORTANT

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

EASY
IMPORTANT

Name all the points that are lying on the circle given below.

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EASY
IMPORTANT

Construct concentric circles of radii 5 cm, 8 cm and 10 cm.

EASY
IMPORTANT

Construct concentric circles of radii 5 cm and 11 cm.

MEDIUM
IMPORTANT

Construct a circular ring between two circles of radii 7 cm and 4 cm.

MEDIUM
IMPORTANT

Construct a circular ring between two circles of radii 8 cm and 5 cm.

EASY
IMPORTANT

The following circles are concentric circles.

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EASY
IMPORTANT

The following circles are concentric circles.

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EASY
IMPORTANT

In the adjoining figure, C is the centre of the circle. The tangent to the circle of radius 6 cm from a point P outside the circle is of length 8 cm. If the distance of the point P from the farthest point of the circumference is k cm, then find the value of k.

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EASY
IMPORTANT

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

EASY
IMPORTANT

A circle can have only one diameter.

HARD
IMPORTANT

Draw a circle with radius 3cm.

EASY
IMPORTANT

Concentric circles can have different centres.

EASY
IMPORTANT

In the figure below, the larger circle has 7 identical smaller circles inside it, touching each other. O is the centre of the larger circle as well as the smaller circle in the middle.

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What is the ratio of the radii of the larger circle to the smaller circle?

EASY
IMPORTANT

In the given diagram,

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∠BAO = _____ degrees.

 

 

 

EASY
IMPORTANT

Perimeter of a square inscribed within a circle of radius 10 cm is _____ cm.

(Note: Round your answer to the nearest whole number)

EASY
IMPORTANT

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

EASY
IMPORTANT

In the figure below, chords AB, BC, CE and EF are equal. GF is the diameter of the circle.

∠AOB = 72 degrees.

 

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The measure of ∠GOB = _____ degrees.

 

 

 

MEDIUM
IMPORTANT

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.

 

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The length of PQ = _____ cm.

(Note: Round your answer to the nearest whole number.)

 

 

 

EASY
IMPORTANT

In the given diagram, CD measures _____ cm.

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EASY
IMPORTANT

 

In the given circle, if C is the centre and points A, B and E lie on the circle, the length of DE = _____ cm.

 

 

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(Note: Image is not to scale)