Question : If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to:

Option 1: 10 cm

Option 2: 20 cm

Option 3: 30 cm

Option 4: 40 cm

Question : AB is a chord of a circle having a radius of 1.7 cm. If the distance of this chord AB from the centre of the circle is 0.8 cm, then what is the length (in cm) of the chord AB?

Option 1: 4

Option 2: 1

Option 3: 3

Option 4: 2

Question : A chord of length 7 cm subtends an angle of $60^{\circ}$ at the centre of a circle. What is the radius (in cm) of the circle?

Option 1: $7\sqrt{2}$ cm

Option 2: $7\sqrt{3}$ cm

Option 3: $7$ cm

Option 4: $14$ cm

Question : AB is a chord in a circle of radius 13 cm. From centre O, a perpendicular is drawn through AB intersecting AB at point C. The length of OC is 5 cm. What is the length of AB?

Option 1: 24 cm

Option 2: 12 cm

Option 3: 20 cm

Option 4: 15 cm

Question : A tangent is drawn from an external point 'A' to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point 'A' is:

Option 1: 17 cm

Option 2: 9 cm

Option 3: 7 cm

Option 4: 13 cm