Explanation:
To construct a circle with a radius of 3.5 cm, you can follow these steps:
1. Take your compass and set it to a radius of 3.5 cm. This means the distance between the center of the compass and the pencil tip should be 3.5 cm.
2. Place the compass at the desired center of the circle, let's call it point O. Press the pencil tip down on the paper and rotate the compass in a full circle to draw the circle.
Now, let's construct the perpendicular bisector of chord AB, which is 2.5 cm away from the center O:
3. Draw two arcs on both sides of the chord AB that intersect the circle. Make sure these arcs are larger than the distance between the chord AB and the center O.
4. Without changing the compass width, place the compass on the intersection points of the arcs with the circle and draw two more arcs that intersect each other. Let's call these intersection points C and D.
5. Draw a straight line connecting points C and D. This line is the perpendicular bisector of chord AB.
To calculate the length of chord AB, we need to find the distance between points A and B:
6. Measure the distance between points C and D using a ruler. This distance is the length of the chord AB.