Suppose you are given a circle. Give a construction to find its centre.
Answers
Answer:
circle.
Steps of construction:
Steps of construction:1. Taking three points P, Q and R on the circle.
Steps of construction:1. Taking three points P, Q and R on the circle.2. Join PQ and QR.
Steps of construction:1. Taking three points P, Q and R on the circle.2. Join PQ and QR.3. Draw MQ and NS, respectively the perpendicular bisectors of PQ and RQ, which intersect each other at O.
Steps of construction:1. Taking three points P, Q and R on the circle.2. Join PQ and QR.3. Draw MQ and NS, respectively the perpendicular bisectors of PQ and RQ, which intersect each other at O.Hence, O is the centre of the circle.
Take any three points P, Q and R on the circle.
Join PQ and QR.
Draw the perpendicular bisectors of PQ and QR. Let these intersect at O.
Then, O is the centre of the circle.
And we are done! :D