Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Question

Philoid · Accepted Answer

Step 1: Draw a circle of radius 4cm using a compass and draw arbitrary two chords AB and CD

Step 2: With A as centre and radius AB draw An arc. With B as a centre and same radius draw another. Join the point of intersections.

Step 3: With D as centre and radius CD draw a circle. With C as a centre and same radius draw a circle. Join the point of intersections

Step 2 and 3 give the perpendicular bisectors of the chords

So the perpendicular bisectors pass through the centre