M l aggarwal understanding icse mathematics class 9 Solutions for Chapter 15 circle

Exercises in Chapter 15 circle Grade 9

Circle Exercise 15.1

Circle Exercise 15.2

Questions in Circle Exercise 15.1

Calculate the length of a chord which is at a distance of 12 cm from the centre of a

circle of radius 13 cm.

A chord of length 8 cm is at a distance of 3 cm from the centre of the circle.

Calculate the radius of the circle.

Calculate the length of the chord which is at a distance of 6 cm from the centre of a

circle of diameter 20 cm.

A chord of length 16 cm is at a distance of 6 cm from the centre of the circle. Find

the length of the chord of the same circle which is at a distance of 8 cm from the

centre.

In a circle of radius 5 cm, AB and CD are two parallel chords of length 8 cm and 6 cm

respectively. Calculate the distance between the chords if they are on :

(i) the same side of the center.

(ii) the opposite sides of the centre

(a) In the figure given below, O is the center of the circle. AB and CD are two chords of the circle, OM is perpendicular to AB and ON is

perpendicular to CD. AB = 24 cm,

OM = 5 cm, ON = 12 cm. Find the:

(i) the radius of the circle.

(ii) length of chord CD.

(b) In the figure (ii) given below, the CD is the diameter which meets the chord AB in E

such that AE = BE = 4 cm. If CE = 3 cm, find the radius of the circle.

that

ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 cm and BC = 24

cm, find the radius of the circle.

An equilateral triangle of side 6 cm is inscribed in a circle. Find the radius of the

circle.

Questions in Circle Exercise 15.2

If arcs APB and CQD of a circle are congruent, then find the ratio of AB: CD.

A and B are points on a circle with center O. C is a point on the circle such that OC

bisects ∠AOB, prove that OC bisects the arc AB.

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Chapters in this book

Rational and Irrational Numbers

Compound Interest

Expansions

Factorization

Simultaneous Linear Equations

Problems on Simultaneous Linear Equations

Quadratic Equations

Indices

Logarithms

Triangles

Mid Point Theorem

Pythagoras Theorem

Rectilinear Figures

Theorems on Area

Circle

Mensuration

Trigonometric Ratios

Trigonometric Ratios and Standard Angles

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