In the following figure, AD is a straight line. OP `bot` AD and O is the centre of both the circles. If OA = 34 cm, OB = 20 cm and OP = 16 cm, find the length of AB.

In the adjoining figure O is the centre of the circle . If chord AB=2 cm radius OA=2 cm, then find the value of angle ACB .

In ∆DEW, AB || EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB.

In the given figure, AB, BC and CA are tangents to the given circle. If AB= 12cm, BC= 8cm and AC= 10cm, find the length of AD, BE= CF

In Figure , O is the centre of the circle with AC = 24 cm, AB = 7 cm and /_BOD = 90° . Find the area of the shaded region. [Use pi = 3·14]

In the adjoining figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and angleBOD = 90^(@) . Find the area of the shaded region.

In the adjoining figure, A and B are the centres of two circles. If CB=17cm, EB=15cm, then find the length of common chord.

In the given figure, OP=13 cm, AB=7 cm and BP=9 cm. Find the radius of the circle.

In the given figure AD is the bisector of angleA . If BD= 4 cm , DC = 3 cm and AB = 6cm . Find AC.

In the adjoining figure, O is the centre of the centre of the circle. If diameter AC=26cm and chord AB=10cm, then find the distances of the chord AB from the centre of the circle.

In the given figure, PT is a tangent to the circle with centre O. If OT=6cm and OP=10cm, thcn find the length of tangent PT.