A horse is tied to a peg at one corner of a square shaped grass field of side `15`m by means of a `5`m long rope. Find the area of that part of the field in which the horse can graze and the increase in the grazing area if the rope were `10`m long instead of `5`m.

A horse is tied to one corner of a field which is if the shape of an equilateral triangle of side 12 m . If the length of the rope is 7 m, find the area of the field which the horse cannot graze. ( pi = 3.14 , sqrt 3 = 1.732 )

A square park has each side equal to 144m . At each corner of the park there is a flower bed in the form of a quadrant of radius 28m . Find the area of the reamining park.

Length of the fence of a trapezium shaped field ABCD is 120m. If BC =48m, CD = 17m an AD=40m, find the area of this field. Side AB is perpendicualr to the parallel sides AD and BC.

There is a path of width 3.5 m around the circular field of diameter 70m. Find the area of the whole path.

A-stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200. N?

The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 13m.Find the area of the field.

The area of a trapezium is 34m^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

A proton moving with velocity (10^7) m/s to enters a magnetic field of 1.5 T making an angle 30° with the direction of the field. Find the radius of the helical path and its frequency of rotational motion

Work Problem on Geometry The perimeter of a rectangular field is 80 m. If the length of the field id decreased by 2m and breadth is increased by 3 m, then the area of the field is increased by 64 sq.m. Find the dimension of the field.

A circular plot has a perimeter of 660m . A plot in the shape of a square havinng its vertices on the circumference of the field. Calculate the area of the square field.