Question : In a circle, a 14 cm long chord is 24 cm from the centre of the circle. Find the length of the radius of the circle.

Option 1: 30 cm

Option 2: 25 cm

Option 3: 50 cm

Option 4: 27 cm

Question : A chord of length 40 cm is drawn in a circle having a diameter of 50 cm. What is the
a minimum distance of another parallel chord of length 30 cm in the same circle from a 40 cm long chord?

Option 1: 10 cm

Option 2: 15 cm

Option 3: 5 cm

Option 4: 20 cm

Question : Select the INCORRECT statement with respect to the properties of a circle.

Option 1: Two tangents drawn at the end of the diameter of a circle are parallel.

Option 2: The radius drawn perpendicular to a chord bisects the chord.

Option 3: The diameter of a circle is the longest chord of a circle.

Option 4: The perpendicular distance from the centre of a circle increases when the length of a chord increases.

Question : The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

Option 1: 10 cm

Option 2: 13 cm

Option 3: 12 cm

Option 4: 24 cm

Question : The radius of a circle is 10 cm. The angle made by chord AB at the centre of this circle is 60°. What is the length of this chord?

Option 1: 40 cm

Option 2: 20 cm

Option 3: 30 cm

Option 4: 10 cm