Construction of Square with Compass

Area of square

Perimeter of Square

Diagonals of Square

Construction of Square with Compass

Before you understand this concept, you are advised to read: What is Square ? How to Construct 90 degree angle ? Construction of a Square (Compass) Example: Construct a square PQRS with side 5 cm Solution: As per the given question: Side = 5 cm Since we know that all sides of square are equal in length, so we get: PQ = QR = RS = SP = 5 cm each Also, we know that in a square all vertices form 90 degree angle, so we get Angle A + Angle B + Angle C + Angle D = 90 degree each Steps of construction are as follows: Step 1: Draw a line segment PQ of 5 cm (as shown below) Step 2: With the help of compass draw 90 degree angle at P (as shown below) (To study how to construct 90 degree angle with the help of compass Click here ) Step 3: With the help of compass draw 90 degree angle at Q (as shown below) (To study how to construct 90 degree angle with the help of compass Click here ) Step 4: Use compass and 5 cm wide open. With P as center, draw an arc; which cuts arms of 90 degree angle. And mark point of intersection as S. (as shown below): Step 5: Use ruler and measure length of SP. Length of SP should be 5 cm and we get: Step 6: Again Use compass and 5 cm wide open. With Q as center, draw an arc; which cuts arms of 90 degree angle. And mark point of intersection as R. (as shown below): Step 7: Use ruler and measure length of RQ. Length of RQ should be 5 cm and we get: Step 8: Join points S & R (as shown below) Step 9: Use ruler and measure length of SR. Length of SR should be 5 cm and we get resultant square PQRS: