Four equal sized maximum circular plates are cut off from a square paper sheet of area 784sq.cmThe circumference of each plate is

If a star figure is formed by elongating the sides of a regular pentagon,then the measure of each angle at the angular points of the star figure is

AD is a diameter of a circle and AB is a chord.If AD=34cm,AB=30cm,distance of AB from the center of the circle is

The area of the largest triangle that can be inscribed in a semi-circle of radius r is²

Let a,b ,c be the sides of a right triangle,where c is the hypotenuse.The radius of the circle which touches the sides of the triangle is

The angles of a triangle are in the ratio 4:1:1.Then the ratio of largest side to the perimeter is