The side of a square is 8 cm. If a square is made by joining the mid points of each sides of this square and this process goes up to infinity. Calculate the sum of areas of all the squares made.

The lateral surface area of a cylinder is 792cm². If its height is 14cm, then its volume (in cm³) is? [Take π = 22/7 ]

A semi-circular sheet of metal of diameter 28 cm. is bent into an open conical cup. The depth of the cup is approximately 

If the length of one side and the diagonal of a rectangle are 7 cm and 25 cm respectively, then find its perimeter (in cm).

A copper wire is bent in the shape of a square of area 81 cm². If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is (take π=22/7 ) 

The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are : 

∆ DEF is right angle at E. if m∠F = 30⁰ Then Find the value of   = ?

∆ ABC  is right angle at B. If m∠C = 45⁰ Then find the value of ( cosec A - √3) = ?