QA and PB are perpendicular to AB in the given figure. If AO = 10 cm, BO = 6cm, BP = 9 cm, then the length of AQ is__

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, 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.

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:

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

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 a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?