Worksheet: Circles

Multiple Choice Question
Q1: 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:
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm

Q2: In Fig, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:
(a) 60º
(b) 50º
(c) 70º
(d) 80º

Q3: 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:
(a) 17 cm
(b) 15 cm
(c) 4 cm
(d) 8 cm

Q4: In Fig, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:
(a) 30º
(b) 60º
(c) 90º
(d) 45º

Q5: In Fig, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:

(a) 30º
(b) 45º
(c) 90º
(d) 60º

True or False

Q6: Through three collinear points a circle can be drawn.

Q7: If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.

Q8: Two chords AB and AC of a circle with centre O are on the opposite sides of OA.
Then ∠OAB = ∠OAC.

Q9. If AOB is a diameter of a circle and C is a point on the circle, then AC² + BC² = AB²

You can access the solutions to this worksheet here.