Question : A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles?

Option 1: $10 \pi$

Option 2: $25 \pi$

Option 3: $5 \pi$

Option 4: $\frac{5 \pi}{2}$

Question : Two circles of diameters 10 cm and 6 cm have the same centre. A chord of the larger circle is a tangent of the smaller one. The length of the chord is:

Option 1: 4 cm

Option 2: 8 cm

Option 3: 6 cm

Option 4: 10 cm

Question : Out of two concentric circles, the radius of the outer circle is 6 cm and the chord PQ of the length 10 cm is a tangent to the inner circle. Find the radius (in cm) of the inner circle.

Option 1: $4$

Option 2: $\sqrt{7}$

Option 3: $\sqrt{13}$

Option 4: $\sqrt{11}$

Question : Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is:

Option 1: 10 cm

Option 2: 12 cm

Option 3: 8 cm

Option 4: 6 cm

Question : Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Then the distance between their centres is:

Option 1: 10 cm

Option 2: 8 cm

Option 3: 13.3 cm

Option 4: 15 cm