A circle touches a quadrilateral ABCD. Find the true statement: -

In the given figure, a circle is placed in a rectangle with another rectangle of dimension 10 cm × 5 cm whose one vertex coincides with vertex of bigger rectangle and opposite vertex lies on circumference of circle. Find the radius of circle.

Find the inradius of a triangle having sides 13, 14 and 15 units.

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? 

In the given figure AD ‖ BC, if ∠ABC=72°, then ∠BCD=?

One angle of pentagon is 140°. If the remaining angles are in the ratio 1 : 2: 3: 4, the size of the greatest angle is:

Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is 30 cm 

In the given figure , ABCD is a square of side 6 cm. What is the value (in cm) of radius of circle?