Question

1. given square abcd, construct a circle circumscribed about the square. explain your steps.

Explanation:

Step1: Draw the diagonals

Draw diagonals AC and BD of square ABCD. The diagonals of a square are equal in length and bisect each other at right - angles. The intersection point of the diagonals, say O, is the center of the circum - circle. This is because the distance from O to each vertex of the square is equal.

Step2: Set the compass

Place the point of the compass at the intersection point O (the center of the circle).

Step3: Draw the circle

Open the compass to the length of OA (or OB, OC, OD since they are all equal). Then draw a circle. This circle will pass through all four vertices A, B, C, and D of the square, which is the circum - circle of the square.

Answer:

Follow the above three - step construction process to construct the circum - circle of square ABCD.