Question : The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is:

Option 1: $75^{\circ}$

Option 2: $60^{\circ}$

Option 3: $150^{\circ}$

Option 4: $120^{\circ}$

Question : A chord of a circle is equal to its radius of length 9 cm. Find the angle subtended by it in the major segment.

Option 1: $90^\circ$

Option 2: $60^\circ$

Option 3: $30^\circ$

Option 4: $120^\circ$

Question : AB is a chord in a circle with centre O. AB is produced to C such that BC is equal to the radius of the circle. C is joined to O and produced to meet the circle at D. If $\angle \mathrm{ACD}=32^{\circ}$, then the measure of $\angle \mathrm{AOD}$ is _____.

Option 1: 48°

Option 2: 96°

Option 3: 108°

Option 4: 80°

Question : In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 44 cm

Option 2: 21 cm

Option 3: 22 cm

Option 4: 42 cm

Question : PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Measure of $\frac{1}{2} \angle \mathrm{PSQ}$ is:

Option 1: 20°

Option 2: 15°

Option 3: 30°

Option 4: 60°