Question : The length of the chord of a circle is 8 cm and the perpendicular distance between the centre and the chord is 3 cm, then the diameter of the circle is equal to:

Option 1: 5 cm

Option 2: 10 cm

Option 3: 3 cm

Option 4: 7 cm

Question : A tangent AB at point A of a circle of radius 6 cm meets a line through the centre O at point B. If OB = 10 cm, then the length of AB (in cm) is equal to:

Option 1: 5

Option 2: 6

Option 3: 4

Option 4: 8

Question : Half of the length of a chord of a circle is 12 cm and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

Option 1: 12 cm

Option 2: 13 cm

Option 3: 10 cm

Option 4: 24 cm

Question : PQ is a chord of length 8 cm of a circle with centre O and radius 5 cm. The tangents at P and Q intersect at a point T. The length of TP is:

Option 1: $\frac{20}{3}\ \text{cm}$

Option 2: $\frac{21}{4}\ \text{cm}$

Option 3: $\frac{10}{3}\ \text{cm}$

Option 4: $\frac{15}{4}\ \text{cm}$

Question : In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.

Option 1: 28 cm

Option 2: 34 cm

Option 3: 17 cm

Option 4: 30 cm