Find the center and diameter of the circle below?

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1 Answer
Aug 26, 2016

See the Explanation.

Explanation:

We take any 3 distinct points, say, A, B and C on the circle.

Draw the bot-bisectors, say, l_1 and l_2 of line-segments

AB, and, BC.

Since, the pts. A, B, C are non-colliner , l_1nnl_2!=phi.

Let l_1nnl_2={P}, then P is the Centre of the circle passing thro.

A,B,C.

A Diameter AD of this circle can be obtained by joining A with the

centre P, and, extending the line-segment AP so as to meet

the circle in pt. D!=A.