In Fig. 2, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively. If AB=29 cm, AD-23 cm,` /_B=90°` and DS = 5 cm, then the radius of the circle (in cm)

In Figure, a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches sides BC, AB, AD and C D at points P, Q, R and S respectively. If A B=29c m ,A D=23 c m ,/_B=90^0 and D S=5c m , then the radius of the circle (in cm) is (a) 11 (b) 18 (c) 6 (d) 15

In the given figure, a circle inscribed in a triangle ABC, touches the sides AB, BC and AC at points D, E and F respectively. If AB= 12 cm, BC= 8 cm and AC = 10 cm, find the lengths of AD, BE and CF.

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.

A circle of radius 4 cm is inscribed in DeltaABC , which touches side BC at D. If BD = 6 cm, DC = 8 cm then

In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of side AD.

ABCD is a rectangle measuring 60 cm by 50 cm P,Q,and R are the points on AB, AD , and BC, respectively, such that AP = 40 cm, AQ = 20 cm, and BR = 40 cm. Find the area of the polygon QPBCD.

In the given figure O is the centre of the circle and AB is a tangents at B. If AB = 15 cm and AC = 7.5 cm. Calculate the radius of the circle.

In Delta ABC, D and E are the points on sides AB and AC respectively. Find whether DE || BC, if : AB = 9 cm, AD = 4 cm, AE = 6 cm and EC = 7.5 cm.

In the adjoining figure, O is the centre of the circle and AB is its diameter. If AC=8 cm and BC= 6cm, then find the radius of the circle.