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.

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

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:

The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?