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.

A path of 7m width runs around a circular park whose radius is 18m . Find the area of the path.

Three charges, each equal to 16 * 10^-9 C are placed at the three corners of a square of side 4 cm. Find the electric field at fourth corner.

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.

From each cornor of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.12.23.Find the area of the remaining portion of the square.

Find the length of the side of a square whose area is 441 m^2 .

Each side of a square is increased in length by 2 cm. and thereby its new area exceeds its original area by 20 cm^2 . Find the side of the square.

Four squares of side 8cm each were cut out from the four corners of a rectangular metal sheet of size 48cmxx36cm .Find the volume of the open cuboid formed with the remaining portion of the metal sheet.

A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively and the slant height of the top is 2.8 m, find the area of the convas for making the tent. Find the cost of convas of the tent at the rate of ₹ 500 per square meter.

Two pillars of equal height stand on either side of a road which is 150m wide. At a point on the road between the pillars the angle of elevation of the top of the pillars are 60° and 30°. Find the height of each pillar and the position of the point on the road.

The sum of the area of two squares is 640 m^2 ,If the difference in their perimeters be 64m,find the sides of the two squares.