Circles Grade 9

1. AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is :

• 17

• 15

• 4

• 8

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

• 5 cm
• 7 cm
• 6 cm
• 2 cm

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is

• 18 cm
• 20 cm
• 15 cm
• 10 cm

. In Fig, if ∠ABC = 20º, then ∠AOC is equal to:

• 60º
• 30º
• 40º
• 50º

In Fig., if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to

• 30 degrees
• 45 degrees
• 60 degrees
• 90 degrees

In Fig. 10.6, if ∠OAB = 40º, then ∠ACB is equal to :

• 90º
• 50º
• 70º
• 30º

In Fig, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:

• 35º
• 70º
• 45º
• 25º

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:

• 50º
• 90º
• 70º
• 30º

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:

• 50º

• 120º
• 130º
• 110º

In Fig., ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:

• 60º
• 90º
• 75º
• 45º