a circle is inscribed within a quadrilateral ABCD touching sides AD,AB,BC, and CD at points P,Q,R and S respectively. if BC =14cm ,BQ=8cm and DC=18cm and AD\perp DC, then find the radius of thr circle

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Q. A circle is inscribed in a quadrilateral

A B C D

touching its sides

A B, B C, C D, A D

P, Q, R

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and

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In the given figure, 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, $∠$ = $90^{o}$ and DS = 5 cm then find the radius of the circle.

Q. In the given figure, a circle with centre O, is inscribed in a quadrilateral ABCD such that it touches the side 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 find the radius of the circle. [CBSE 2008, 13]

In the given figure, a circle is inscribed in a quadrilateral ABCD touching its sides AB, BC, CD and AD at P, Q, R and S respectively. If the radius of the circle is $10 c m, B C = 38 c m,$ $P B = 27 c m$ and $A D ⊥ C D$ then the length of $C D$ is

(a) $11 c m$ (b) $15 c m$ (c) $20 c m$ (d) $21 c m$

Q. In the given figure, a circle is inscribed in a quadrilateral ABCD touching its sides Ab, BC, CD and AD at P, Q, R and S respectively.
If the radius of the circle is 10 cm, BC = 38 cm, PB = 27 cm and AD ⊥ CD then the length of CD is [CBSE 2013]
(a) 11 cm
(b) 15 cm
(c) 20 cm
(d) 21 cm

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