Page 1 - Worksheet 1 Ch.10 Circle

SAI INTERNATIONAL RESIDENTIAL SCHOOL
Class: IX
Subject -Mathematics

Worksheet No.1 ( Circle)
Topic: Angle subtended by a chord, perpendicular from chord, circle through three
points chords and their distances from centre)

Section A
Choose the correct option:

1 Two congruent circles have centers O and O’. Arc AXB subtends an angle of 75º at the 1
centre O and arc A’YB’ subtends an angle of 25º
at the centre O’. Then the ratio of arcs A X B and A’YB’is:

(A) 2 : 1 (B) 1 : 2 (C) 3 : 1 (D) 1 : 3

2 AB and CD are two equal chords of a circle with centre O. OP and OQ are 1
perpendiculars on chords AB and CD, respectively.
If POQ = 150º, then APQ is equal to

(A) 30º (B) 75º (C) 15º (D) 60º

3 AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance 1
of AB from the centre of the circle is
(A) 17 cm (B) 15 cm (C) 4 cm (D) 8 cm

Fill in the Blanks:
4 If arcs AXB and CYD of a circle are congruent, then the ratio of AB and CD=________ 1

5 In Fig. 10.3, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal 1
to:_______