O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:

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

ABCD is a trapezium in which AB‖CD. M and N are the mid points of AD and BC respectively. If AB=14 cm and MN=15 cm, find CD.

An exterior angle of a regular polygon is 72^o. The sum of all the interior angles is -

In the given figure ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, (AD)=(BC)=10 m, and (AB) = 15 m <(DC). What is the perimeter (in m) of the trapezium ABCD?