The center of the circle in the figure is '0' and PQ is tangent. If `angleRPQ = 40 ^@`, then find the measurement of `anglePOR`.

PQ is a diameter of the circle with centre at O. The tangent drawn at C on the circle intersects externded PQ at R. If angle CPO =30^(@), then find the value of angle QCR.

In the adjoining figure O is the centre of the circle and AB is the diameter. Tangent PQ touches the circle at D. angleBDQ = 48^(@) . Find the ratio of angleDBA: angleDCB :

In Figure PQ is a chord of a circle with centre O and PT is a tangent. If QPT =60^@ so, find PRQ.

In the adjoning figure O is the centre of the circle and AB is the diameter. Tangent PQ touches the circle at D. angleBDQ=48^@ . Find the ratio of angleDBA:angleDCB.

In the figure, PQ=QR ,angleRPQ=60^(@), and angleQRS=20^(@) . Find the measure of angleQSR .

In the following figure,PQ is the diameter of the circle with radius 5 cm. if AT is the tangent and equal to the radius of the circle, then find the lenth of AR.

PQ is a tangent drawn from an external point P to a circle with center O, angle QOR is the diameter of the circle. If angle POR = 120^(@) . What is the measure of angle OPQ ?

In the figure, O is the centre of the circle and LN is a diameter. If PQ is a tangent to the circle at K and angle KLN = 30^(@) , find angle PKL .

PQ and PR are tangents to the given circle as shown in the figure. If angleRPQ=90^(@) and PQ = 8 cm, find the radius of the circle.

In given figure, O is the centre of the circle and LN is a diameter. If PQ is a tangent to the circle at K and angleKLN=30^(@) , find anglePKL .