suppose you are given a circle give a construction to find its centre
Answers
Answer:
Step-by-step explanation:
According to the given,
If given is the circle only,we can find its centre by using the following construction
Let circle c,be given.
1.Take a point P,Q,R on the circle.
2.Join PR and PQ.
We know that perpendicular bisector of A chord passes through the circle
So,we construct perpendicular bisector of PR and RQ.
3.Take a compass with point P as pointy end and R as pencil end of the compass,Mark an arc above and below PR.
Do same with R as pointy end and P as pencil end of the compass.
4.Join the points intersected by the arcs .The line joined inthe perpendicular bi sector for PR.
5.Take a compass with point R as pointy end and Q as pencil end of the compass,Mark an arc above and below RQ.
6.Join the points intersected by the arcs.The line joined in the perpendicular bi sector of RQ.
7.The points where the two perpendicular bisector is the centre of the circle.
8.Mark it as point O.
Thus,the point O is the required centre for the given circle C.
Hello mate =_=
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Solution:
(1)Mark three points A, B and C on the circumference of given circle.
(2) Join A, B and B, C to form two chords of the circle.
(3) Draw perpendicular bisectors of chords AB and BC.
➡Perpendicular bisectors of AB and BC meet at point O which is the centre of the given circle.
hope, this will help you.
Thank you______❤
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